Fields of Interest

Celestial Mechanics, Discrete Dynamical Systems and Ordinary Differential Equations.

J. C. Artés, J. Llibre, M. Teixeira NEW 10/01/19
A universal constant for a semistable limit cycle.
Preprint. 2010.
 [Abstract]

L. Cairó, J. Llibre NEW 10/01/19
Phase portraits of planar semi-homogeneous systems III.
Preprint. 2010.
 [Abstract]

M. Falconi, J. Llibre NEW 10/01/19
Hopf bifurcation in predator-prey models with an age structured prey.
Preprint. 2010.
 [Abstract]

J. Llibre, C. Valls NEW 10/01/13
On the C¹ non-integrability of the Belousov-Zhabotinskii system.
Preprint. 2010.
 [Abstract]

J. Llibre, C. Valls NEW 10/01/13
On the first integrals of the ABC system.
Preprint. 2010.
 [Abstract]

J. C. Artés, J. Llibre, D. Schlomiuk
The geometry of the quadratic differential systems with a weak focus and an invariant straight line.
Preprint. 2009. To appear in International J. of Bifurcation and Chaos

J. C. Artés, J. Llibre, N. Vulpe NEW 10/01/14
Quadratic systems with a rational first integral of degree three: a complete classification in the coefficient space R¹².
Preprint. 2009.
 [Abstract]

L. Barreira, J. Llibre, C. Valls NEW 10/01/13
Periodic orbits near equilibria via averaging theory of second order.
Preprint. 2009.
 [Abstract]

L. Barreira, J. Llibre, C. Valls NEW 10/01/15
Periodic orbits near equilibria.
Preprint. 2009. To appear in Comm. Pure and Appl. Math.
 [Abstract] [Full PDF]

L. Biscolla, J. Llibre, W. Oliva NEW 10/01/14
A rolling ball problem on the plane revisited.
Preprint. 2009.
 [Abstract]

A. Buica, J. Giné, J. Llibre NEW 10/01/19
Bifurcation of limit cycles from a polynomial degenerate center.
Preprint. 2009. To appear in Advanced Nonlinear Studies
 [Abstract] [Full PDF]

M. Corbera, J. Delgado, J. Llibre
On the existence of central configurations of p nested n–gons.
Preprint. 2009.
 [Abstract]

B. García, J. Llibre, J. Río NEW 10/01/14
On the polynomial differential systems having polynomial first integrals.
Preprint. 2009.
 [Abstract]

J. Giné, J. Llibre NEW 10/01/15
All planar integrable differential systems are essentially the linear differential system x'=x, y'=y.
Preprint. 2009.
 [Abstract]

J. Guirao, J. Llibre NEW 10/01/13
On the set of periods for the Morse-Smale diffeomorphisms on the disc with n holes.
Preprint. 2009.
 [Abstract]

J. Guirao, M. López, J. Llibre, R. Martínez NEW 10/01/13
On the bifurcations of equilibria of a locally-Cournot economic model.
Preprint. 2009.
 [Abstract]

Y. Ilyashenko, J. Llibre NEW 10/01/15
A restricted version of the Hilbert's 16th problem for quadratic vector fields.
Preprint. 2009.
 [Abstract]

L. Jiménez, J. Llibre NEW 10/01/13
Periodic orbits and non integrability of Henon-Heiles systems.
Preprint. 2009.
 [Abstract]

J. Llibre, A. Mahdi, C. Valls
Analytic Integrability of Hamiltonian systems with a homogeneous polynomial potential of degree 4.
Preprint. 2009.
 [Abstract]

J. Llibre, R. Martins, M. Teixeira NEW 10/01/15
Periodic orbits, invariant tori and cylinders of Hamiltonian systems near integrables ones having a return map equal to the identity.
Preprint. 2009.
 [Abstract]

J. Llibre, W. Marzantowicz
Periods of holomorphic maps on surfaces.
2009.
 [Abstract]

J. Llibre, A. Mereu NEW 10/01/13
Limit Cycles for a Generalized Kukles Polynomial Differential Systems.
Preprint. 2009.
 [Abstract]

J. Llibre, A. Mereu, M. Teixeira NEW 10/01/15
Invariant tori fulfilled of periodic orbits for 4-dimensional C² differential systems in presence of resonance.
Preprint. 2009. To appear in Int. J. Bifurcation and Chaos
 [Abstract] [Full PDF]

J. Llibre, A. Mereu, M. Teixeira NEW 10/01/19
Limit cycles of resonant four-dimensional polynomial system.
Preprint. 2009. To appear in Dynamical Systems. An International J.
 [Abstract] [Full PDF]

J. Llibre, M. Messias, P. Silva NEW 10/01/15
Global dynamics of the Lorenz systems with invariant algebraic surfaces.
Preprint. 2009. To appear in Int. J. Bifurcation and Chaos
 [Abstract] [Full PDF]

J. Llibre, C. Pantazi, S. Walcher
Morphisms and inverse problems for Darboux integrating factors.
Preprint. 2009.
 [Abstract]

J. Llibre, E. Ponce, J. Ros NEW 10/01/14
Algebraic determination of limit cycles in 3-dimensional piecewise linear differential systems.
Preprint. 2009.
 [Abstract]

J. Llibre, S. Rebollo-Perdomo, J. Torregrosa
Limit cycles bifurcating from a 2-dimensional isochronous torus in $R3$.
Preprint. 2009.
 [Abstract]

J. Llibre, A. Rodrigues
On the periodic orbits of Hamiltonian systems.
Preprint. 2009.
 [Abstract]

J. Llibre, G. Swirszcz NEW 10/01/14
Limit cycles of polynomial vector fields with quadratic and cubic homogenous nonlinearities.
Preprint. 2009. To appear in Dyn. Contin. Discrete Impuls. Syst.
 [Abstract] [Full PDF]

J. Llibre, C. Valls NEW 10/01/13
On the C¹ non-integrability of differential systems via periodic orbits.
Preprint. 2009.
 [Abstract]

J. Llibre, C. Valls NEW 10/01/14
Hopf bifurcation for some analytic differential systems in R³ via averaging theory.
Preprint. 2009.
 [Abstract]

J. Llibre, C. Valls NEW 10/01/14
Integrability in nonlinear biomathematical models.
Preprint. 2009.
 [Abstract]

J. Llibre, C. Valls NEW 10/01/14
Liouvillian first integrals for Liénard polynomial differential systems.
Preprint. 2009. To appear in Proc. Amer. Math. Soc.
 [Abstract] [Full PDF]

J. Llibre, C. Valls NEW 10/01/14
Nonintegrability of a class of Bianchi's VI₀ and VII₀ models.
Preprint. 2009.
 [Abstract]

J. Llibre, C. Valls NEW 10/01/14
The Michelson system is neither global analytic, nor Darboux integrable.
Preprint. 2009. To appear in Physica D: Nonlinear Phenomena
 [Abstract] [Full PDF]

J. Llibre, C. Valls NEW 10/01/15
Analytic integrability of quadratic-linear polynomial differential systems.
Preprint. 2009. To appear in Ergodic Theory and Dynamical Systems
 [Abstract] [Full PDF]

J. Llibre, C. Valls NEW 10/01/19
Global analytic first integrals for the simplified multistrain/two-stream model for tuberculosis and dengue fever.
Preprint. 2009. To appear in J. Nonlinear Mathematical Physics
 [Abstract] [Full PDF]

J. Llibre, C. Valls
Classification of the centers, of their cyclicity and isochronicity for two classes of generalized quintic polynomial differential systems.
2009. To appear in NoDEA : Nonlinear Differential Equations and Applications
 [Abstract]

J. Llibre, Y. Zhao NEW 10/01/15
On the polynomial vector fields on S².
Preprint. 2009.
 [Abstract]

J. Alavez-Ramírez, G. Blé, V. Castellanos, J. Llibre
On the global flow of a 3-dimensional Lotka-Volterra system.
Preprint. 2008.
 [Abstract]

A. Buica, J. Llibre, O. Makarenkov
Lyapunov-Schmidt reduction for nonsmooth functions with application to Malkin's problem on the existence of periodic solutions.
Preprint. 2008.

A. Buica, J. Llibre, O. Makarenkov
Second Bogolubov's theorem for Lipschitz systems and bifurcations of asymptotically stable periodic solutions in differential equations with jumping nonlinearities.
Preprint. 2008. To appear in Equadiff07
 [Abstract]

J. Cao, J. Llibre, X. Zhang
Darboux integrability and Algebraic limit cycles for a class of polynomial differential Systems.
Preprint. 2008.
 [Abstract]

C. Christopher, J. Llibre, C. Pantazi, S. Walcher
Darboux integrating factors: Inverse problems.
Preprint. 2008.
 [Abstract] [Full PDF]

M. Cobo, C. Gutierrez, J. Llibre
Flows without wandering points on compact connected surfaces.
Preprint. 2008. To appear in Trans. Amer. Math. Soc.
 [Abstract]

B. Coll, A. Ferragut, J. Llibre
Polynomial inverse integrating factors of quadratic differential systems.
Preprint. 2008.
 [Abstract]

A. Ferragut, J. Llibre, C. Pantazi
Polynomial vector fields in $R3$ with infinitely many limit cycles.
Preprint. 2008.
 [Abstract]

J. Françoise, J. Llibre
Analytical study of a higher-order Hopf bifurcation in a tritrophic food chain model.
Preprint. 2008.
 [Abstract]

J. Giné, M. Grau, J. Llibre
On the polynomial limit cycles of polynomial differential equations.
Preprint. 2008. To appear in Israel J. of Math.
 [Abstract]

J. Giné, J. Llibre
On the integrable rational Abel differential equations.
Preprint. 2008. To appear in Z. Angew. Math. Phys.
 [Abstract]

J. Guirao, J. Llibre
Minimal Lefschetz sets of periods for Morse-Smale diffeomorphisms on the n-dimensional torus.
Preprint. 2008. To appear in J. Difference Equ. Appl.
 [Abstract]

C. Li, J. Llibre
Quadratic perturbations of a quadratic reversible Lotka-Volterra System.
Preprint. 2008. To appear in Qualitative Theory Dynamical Systems (Proceedings of Banff)
 [Abstract]

F. Liu, J. Llibre, X. Zhang
Heteroclinic orbits for a class of Hamiltonian systems on Riemannian manifolds.
Preprint. 2008. To appear in Discrete and Continuous Dynamical Systems, Series A
 [Abstract]

J. Llibre, A. Mahdi
Lower bounds for the number of zeros of Abelian integral for some cubic isochronous centers.
Preprint. 2008.
 [Abstract]

J. Llibre, A. Mahdi, J. Roé
The geometry of the real planar polynomial differential systems having their orbits imbedded in conics.
Preprint. 2008.
 [Abstract]

J. Llibre, A. Mahdi, N. Vulpe
Phase portraits and invariant straight lines of cubic polynomial vector fields having a quadratic rational first integral.
Preprint. 2008. To appear in Rocky Mountain J. Math.
 [Abstract] [Full PDF]

J. Llibre, A. Makhlouf
Bifurcation of limit cycles from a 4-dimensional center in $1:n$ resonance.
Preprint. 2008. To appear in Appl. Math. Comput.
 [Abstract] [Full PDF]

J. Llibre, L. Mello, E. Pérez-Chavela
New stacked central configurations for the planar 5-body problem.
Preprint. 2008.
 [Abstract]

J. Llibre, A. Mereu
Hopf bifurcation for vector fields in R⁴ with eigenvalues $\pm \alpha \; i,\; \pm \beta \; i$ in resonance 1:2 and 3:2.
Preprint. 2008.
 [Abstract]

J. Llibre, R. Rabanal
Planar real polynomial differential systems of degree $n>3$ having a weak focus of high order.
Preprint. 2008. To appear in Rocky Mountain J. of Math.
 [Abstract]

J. Llibre, C. Valls
Centers and isochronous centers for two classes of generalized seventh and ninth systems.
Preprint. 2008.
 [Abstract]

J. Llibre, C. Valls
Classification of centers, their cyclicity and isochronicity for a class of polynomial differential systems of degree $d\ge \; 7$ odd.
Preprint. 2008. To appear in Bull. Belgium Math. Soc
 [Abstract]

J. Llibre, C. Valls
Classification of the centers and their isochronicity for a class of polynomial differential systems of arbitrary degree.
Preprint. 2008.
 [Abstract]

J. Llibre, C. Valls
On the integrability of a tritrophic food chain model.
Preprint. 2008. To appear in Advanced in Nonlinear Studies
 [Abstract]

J. Llibre, X. Zhang
On the Hopf-zero bifurcation of the Michelson system.
Preprint. 2008.
 [Abstract]

J. Llibre, X. Zhang
Rational first integrals in the Darboux theory of integrability in $Cn$.
Preprint. 2008. To appear in Bull. Sci. Math.
 [Abstract] [Full PDF]

A. Cima, J. Llibre, L. Peng
Perturbation Techniques for studying the periodic orbits and the limit cycles of 3-dimensional systems.
Preprint. 2007.
 [Abstract]

J. Llibre, M. Messias
Periodic and asymptotic orbits for reversible systems in R³ without singular points.
Preprint. 2007. To appear in Proceed. Equadiff07
 [Abstract] [Full PDF]

J. Llibre, J. Yu, X. Zhang
Limit Cycles For A Class Of Third-order Differential Equations.
Preprint. 2007. To appear in Rocky Mountain J. Math.
 [Abstract] [Full PDF]

D. Dobrovolschi, J. Llibre
Distinguishing between Local and Non-Local Dissipativity of Vector Fields on $Rn$.
Preprint. 2006.
 [Abstract]

D. Dobrovolschi, J. Llibre
Suficient Conditions for Boundedness of the Flow of a Differential System on $Rn$.
Preprint. 2006.
 [Abstract]

J. Guirao, J. Llibre
The set of periods for the Morse-Smale diffeomorphisms on $T2$.
Preprint. 2006.
 [Abstract]

W. Li, J. Llibre, H. Wu
Reduction of periodic difference systems to linear or autonomous ones.
Preprint. 2006. To appear in Bull. Sci. Math.
 [Abstract]

J. Llibre, A. Tarta
Hopf bifurcation of a delay differential equation with two delays.
Preprint. 2006.
 [Abstract] [Full PDF]

J. Llibre, C. Valls
Formal and analytic integrability of the Belousov-Zhabotinskii system.
Preprint. 2006.
 [Abstract] [Full PDF]

J. Llibre, C. Valls
On the limit cycles of polynomial differential systems with homogeneous nonlinearities of degree 3 via the averaging method.
Preprint. 2006. To appear in Dynam. Contin. Discrete Impuls. Systems
 [Abstract] [Full PDF]

J. Llibre, J. Yang
A classical family of polynomial Abel differential equations satisfying the composition conjecture.
Preprint. 2006.
 [Abstract] [Full PDF]

A. Cima, J. Llibre, J. Medrado
New families of centers for polynomial vector fields of arbitrary degree.
Preprint. 2005. To appear in Comm. on Applied Nonlinear Analysis
 [Abstract] [Full PDF]

M. Gidea, J. Llibre
Symmetric planar central configurations of five bodies: Euler plus two.
Celestial Mechanics and Dynamical Astronomy, 106, 89-107, 2010.
 [Abstract]

J. Llibre, A. Makhlouf
Bifurcation of limit cycles from a two dimensional center inside $Rn$.
Nonlinear Analysis, 72, 1387-1392, 2010.
 [Abstract]

J. Llibre, R. Ramírez, N. Sadovskaia
On the 16th Hilbert problem for algebraic limit cycles.
J. Differential Equations, 248, 1401-1409, 2010.
 [Abstract]

J. Llibre, V. Sirvent
Erratum: Minimal sets of periods for Morse-Smale diffeomorphisms on orientable compact surfaces.
Houston J. of Math., 36, 335-336, 2010.

J. Llibre, C. Valls
On the local analytic integrability at the singular point of a class of Liénard analytic differential systems.
Proc. Amer. Math. Soc., 138(1). 253-261, 2010.

J. C. Artés, F. Dumortier, J. Llibre
Limit cycles near hyperbolas in quadratic systems.
J. Differential Equations, 246, 235-260, 2009.
 [Abstract]

J. C. Artés, J. Llibre, N. Vulpe
Quadratic systems with a polynomial first integral: a complete classification in the coefficient space $R12$.
J. Differential Equations, 246, 3535-3558, 2009.
 [Abstract]

A. Buica, J. Llibre, O. Makarenkov
Asymptotic stability of periodic solutions for nonsmooth differential equations with application to the nonsmooth Van Der Pol oscillator.
SIAM J. Math. Anal., 40(6). 2478-2495, 2009.
 [Abstract]

C. Buzzi, J. Llibre, J. Medrado
Phase Portraits of Reversible Linear Differential Systems with Cubic Homogeneous Polynomial Nonlinearities Having a Non-degenerate Center at the Origin.
Qual. Theory Dyn. Syst., 7, 369-403, 2009.
 [Abstract]

C. Buzzi, J. Llibre, J. Medrado, J. Torregrosa
Bifurcation of limit cycles from a center in $R4$ in ressonance 1:N.
Dynamical Systems: An International Journal, 24(1). 123-137, 2009.
 [Abstract]

C. Christopher, J. Llibre, C. Pantazi, S. Walcher
Inverse problems for invariant algebraic curves: explicit computations.
Proc. Roy. Soc. Edinburgh Sect. A, 139A, 287-302, 2009.
 [Abstract]

B. Coll, A. Ferragut, J. Llibre
Phase portraits of the quadratic systems with a polynomial inverse integrating factor.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 19(3). 765-783, 2009.
 [Abstract]

M. Corbera, J. Llibre
Central configurations of nested rotated regular tetrahedra.
J. Geom. Phys., 59, 1379-1394, 2009.
 [Abstract]

M. Corbera, J. Llibre
Central configurations of three nested regular polyhedra for the spatial 3n-body problem.
J. Geometry and Physics, 59, 321-339, 2009.
 [Abstract]

M. Corbera, J. Llibre
On the existence of central configurations of p nested regular polyhedra.
Celest. Mech. Dyn. Astr., 106, 197-207, 2009.
 [Abstract]

M. Corbera, J. Llibre
Survey on central configurations related with regular polyhedra.
Monografías de la Real Academia de Ciencias de Zaragoza, 32, 1-17, 2009.

M. Corbera, J. Llibre, M. Teixeira
Symmetric periodic orbits near a heteroclinic loop in R³ formed by two singular points, a semistable periodic orbit and their invariant manifolds.
Phys. D, 238, 699-705, 2009.
 [Abstract]

M. Dantas, J. Llibre
The global phase space for the 2- and 3-dimensional Kepler problems.
Qual. Theory Dyn. Syst., 8, 45-205, 2009.
 [Abstract]

B. García, J. Llibre, J. Pérez del Río
Corrigendum to: On the number of limit cycles surrounding a unique singular point for polynomial differential systems of arbitrary degree [Nonlinear Anal. 69 (12) (2008) 4461–4469].
Nonlinear Anal., Ser. A: Theory Methods, 71(05/06/09). 2385-2386, 2009.
 [Abstract]

A. Gasull, H. Giacomini, J. Llibre
New criteria for the existence and non-existence of limit cycles in Liénard differential systems.
Dynamical Systems: An International Journal, 24(2). 171-185, 2009.
 [Abstract]

A. Gasull, J. Llibre, X. Zhang
One-dimensional quaternion homogeneous polynomial differential equations.
J. Math. Phys., 50, 082705, 2009.
 [Abstract]

L. Jiménez-Lara, J. Llibre, M. Vargas
Global phase portraits of the planar problems of two-fixed centers.
J. Math. Phys., 50(4). 1-10, 2009.
 [Abstract]

C. Li, J. Llibre
The cyclicity of Period Annulus of a Quadratic Reversible Lotka-Volterra System.
Nonlinearity, 22, 2971-2979, 2009.
 [Abstract]

W. Li, J. Llibre, H. Wu
Averaging theory for almost periodic difference systems.
J. Difference Equations and Applications, 15, 927-948, 2009.

W. Li, J. Llibre, H. Wu
Normal forms for almost periodic differential systems.
Ergodic Theory Dynam. Systems, 29, 637-656, 2009.
 [Abstract]

W. Li, J. Llibre, H. Wu
Polynomial and linearized normal forms for almost periodic differential systems.
J. of Difference Equations and Applications, 15(10). 927-948, 2009.
 [Abstract]

W. Li, J. Llibre, J. Yang, Z. Zhang
Limit cycles bifurcating from the period annulus of quasi-homogeneous centers.
Journal of Dynamics and Differential Equations, 21(1). 133-152, 2009.
 [Abstract]

J. Llibre
A survey on the limit cycles of the generalized polynomial Liénard differential equations.
In Proceedings of Mathematical Models in Engineering, Biology and Medicine Conference on Boundary Value Problems 2008, 224-233. Amer. Inst. Phys, 2009.
 [Abstract]



J. Llibre, A. Makhlouf, S. Badi
3-dimensional Hopf bifurcation via averaging theory of second order.
Discrete and Continuous Dynamical Systems, Series A, 25, 1287-1295, 2009.
 [Abstract]

J. Llibre, W. Marzantowicz
Homotopy minimal periods of holomorphic maps on surfaces.
Functiones et Approximatio, 40(2). 309-326, 2009.
 [Abstract]

J. Llibre, L. Mello
New central configurations for the planar 7-body problem.
Nonlinear Analysis: Real World Applications, 10(4). 2246-2255, 2009.
 [Abstract]

J. Llibre, L. Mello
Triple and quadruple nested central configurations for the planar n-body problem.
Phys. D, 238, 563-571, 2009.
 [Abstract]

J. Llibre, A. Mereu, M. Teixeira
Limit Cycles of the generalized polynomial Liénard differential equations.
Math. Proc. Cambridge Philos. Soc., 1-21, 2009.
 [Abstract] [Full PDF]

J. Llibre, M. Messias
Global dynamics of the Rikitake system.
Phys. D, 238, 241-252, 2009.
 [Abstract]

J. Llibre, R. Oliveira
Erratum to: Phase portraits of quadratic polynomial vector fields having a rational first integral of degree 3.
Nonlinear Anal., Ser. A: Theory Methods, 71, 6378-6379, 2009.
 [Abstract]

J. Llibre, R. Oliveira
Phase portraits of quadratic polynomial vector fields having a rational first integral of degree 3.
Nonlinear Anal., Ser. A: Theory Methods, 70(10). 3549-3560, 2009.
 [Abstract]

J. Llibre, C. Pantazi
Darboux theory of integrability for a class of nonautonomous vector fields.
J. Math. Phys., 50, 102705 1-19, 2009.
 [Abstract]

J. Llibre, E. Pérez-Chavela, J. Bernat
On the planar central configurations of the $4$-body problem with three equal masses.
Dynam. Contin. Discrete Impuls. Systems, 16, 1-13, 2009.
 [Abstract]

J. Llibre, C. Pessoa
On the centers of the weight-homogeneous polynomial vector fields on the plane.
J. Math. Anal. Appl., 359(2). 722-730, 2009.
 [Abstract]

J. Llibre, C. Pessoa
Phase portraits for quadratic homogeneous polynomial vector fields on S².
Rendiconti di Circolo Matematico di Palermo, 58, 361-406, 2009.
 [Abstract]

J. Llibre, V. Pilyugina
Number of invariant straight lines for homogeneous polynomial vector fields of arbitrary degree and dimension.
Journal of Dynamics and Differential Equations, 21(3). 487–499, 2009.
 [Abstract]

J. Llibre, L. Roberto
New doubly-symmetric families of comet-like periodic orbits in the spatial restricted (N +1)-body problem.
Celestial Mech. Dynam. Astronom., 104, 307-318, 2009.
 [Abstract]

J. Llibre, L. Roberto
Pseudo periodic orbits of the planar collision restricted 3-body problem in rotating coordinates.
Nonlinear Anal., Ser. A: Theory Methods, 71(1-2). 58-65, 2009.
 [Abstract]

J. Llibre, R. Saghin
Results and open questions on some of the invariants measuring the dynamical complexity of a map.
Fundamenta Mathematica (Proc. of Michal Misiurewicz), 206, 307-327, 2009.
 [Abstract]

J. Llibre, N. Sellami, A. Makhlouf
Limit cycles for a class of fourth-order differential equations.
Applicable Analysis, 88, 1617-1630, 2009.

J. Llibre, V. Sirvent
Minimal Sets Of Periods For Morse-Ssmale Diffeomorphisms On Orientable Compact Surfaces.
Houston J. Math., 35(3). 835-855, 2009.
 [Abstract]

J. Llibre, M. Teixeira
Limit cycles bifurcating from a 2-dimensional isochronous cylinder.
Appl. Math. Lett., 22(8). 1231-1234, 2009.
 [Abstract]

J. Llibre, C. Valls
Analytic first integrals of the Fitzhugh-Nagumo systems.
Z. Angew. Math. Phys., 60(2). 237-245, 2009.
 [Abstract]

J. Llibre, C. Valls
Analytical integrability of the Rikitake system.
Z. Angew Math. Phys., 2009.
 [Abstract]

J. Llibre, C. Valls
Centers for polynomial vector fields of arbitrary degree.
Commun. Pure Appl. Anal., 8(2). 725-742, 2009.
 [Abstract]

J. Llibre, C. Valls
Classification of the centers and their cyclicity for the generalitzed cubic polynomial differential systems.
J. Differential Equations, 246, 2192-2204, 2009.
 [Abstract]

J. Llibre, C. Valls
Classification of the centers, their cyclicity and isochronicity for a class of polynomial differential systems generalizing the linear systems with cubic homogeneous nonlinearities.
J. Differential Equations, 246, 2192-2204, 2009.
 [Abstract]

J. Llibre, C. Valls
Classification of the centers, their cyclicity and isochronicity for the generalized quadratic polynomial differential systems.
J. Math. Anal. Appl., 357, 427-437, 2009.
 [Abstract]

J. Llibre, H. Wu, J. Yu
Linear Estimate For The Number Of Limit Cycles Of A Perturbed Cubic Polynomial Differential System.
Nonlinear Anal., Ser. A: Theory Methods, 70, 419-432, 2009.
 [Abstract]

J. Llibre, J. Yu
On The Periodic Orbits Of The Static Spherically Symmetric Einstein-Yang-Mills Equations.
Comm. Math. Phys., 286, 277-281, 2009.
 [Abstract]

J. Llibre, X. Zhang
Darboux theory of integrability for polynomial vector fields in $Rn$ taking into account the multiplicity at infinity.
Bull. Sci. Math., 133, 765-778, 2009.
 [Abstract]

J. Llibre, X. Zhang
Darboux theory of integrability in $Cn$ taking into account the multiplicity.
J. Differential Equations, 246, 541-551, 2009.
 [Abstract]

J. Llibre, X. Zhang
Hopf bifurcation in higher dimensional differential systems via the averaging method.
Pacific J. Math., 240(2). 321-341, 2009.
 [Abstract]

J. Llibre, P. Silva, M. Teixeira
Study of Singularities in Nonsmooth Dynamical Systems via Singular Perturbation.
SIAM J. Appl. Dyn. Syst., 8(1). 508-526, 2009.
 [Abstract]

C. Valls, J. Llibre
Classification of the centers and of the isochronous centers for a class of quartic-like systems.
Nonlinear Anal., Ser. A: Theory Methods, 71, 3119-3128, 2009.
 [Abstract]

M. Alvarez, J. Delgado, J. Llibre
On the spatial central configurations of the 5-body problem and their bifurcations.
Discrete and Continuous Dynamical Systems, Series S, 1(4). 505-518, 2008.
 [Abstract]

J. C. Artés, J. Llibre, N. Vulpe
Singular points of quadratic systems: a complete classification in the coefficient space R¹².
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 18(2). 313-362, 2008.
 [Abstract]

J. C. Artés, J. Llibre, N. Vulpe
When singular points determine quadratic systems.
Electron. J. Differential Equations, 82, 1-37, 2008.
 [Abstract]

A. Buica, J. Llibre, O. Makarenkov
On Yu. A. Mitropolʹskiĭ's theorem on periodic solutions of systems of nonlinear differential equations with nondifferentiable right-hand sides.
Doklady Math. Sci., 421, 302-304, 2008.
 [Abstract]

V. Castellanos, M. Falconi, J. Llibre
Periodic orbits in predator-prey systems with Holling functional responses.
Sci. Math. Jpn, 67(2). 205-217, 2008.
 [Abstract]

A. Cima, J. Llibre, M. Teixeira
Hopf bifurcation in presence of 1:3 resonance.
Adv. Nonlinear Stud., 8(3). 619-632, 2008.
 [Abstract]

A. Cima, J. Llibre, M. Teixeira
Limit cycles of some polynomial differential systems in dimension 2, 3 and 4, via averaging theory.
Appl. Anal., 87(2). 149-164, 2008.
 [Abstract]

M. Corbera, J. Llibre
Central configurations of nested regular polyhedra for the spatial 2n-body problem.
J. Geometry and Physics, 58, 1241-1252, 2008.
 [Abstract]

M. Corbera, J. Llibre
Infinitely many periodic orbits for the octahedral 7-body problem.
Qual. Theory Dyn. Syst., 7(1). 101-122, 2008.
 [Abstract]

M. Falconi, E. Lacomba, J. Llibre
Location of the real cubic surfaces in the parameter space.
Qual. Theory Dyn. Syst., 7(1). 147-167, 2008.
 [Abstract]

B. García, J. Llibre, J. Pérez del Río
On the number of limit cycles surrounding a unique singular point for polynomial differential systems of arbitrary degree.
Nonlinear Anal., Ser. A: Theory Methods, 69(12). 4461-4469, 2008.
 [Abstract]

I. García, J. Giné, J. Llibre
Liénard and Riccati differential equations related via Lie Algebras,.
Discrete Contin. Dynam. Systems, 10, 485-494, 2008.
 [Abstract]

J. Guirao, J. Llibre
Periods for the Morse-Smale diffeomorphisms on $S2$.
Colloq. Math., 110(2). 477-483, 2008.
 [Abstract]

X. Jarque, J. Llibre, D. Shafer
Structurally Stable Quadratic Foliations.
Rocky Mountain J. Math., 38(2). 489-530, 2008.
 [Abstract]

S. Kaplan, E. Lacomba, J. Llibre
Symbolic dynamics of the elliptic rectilinear restricted 3-body problem.
Discrete and Continuous Dynamical Systems, Series S, 1(4). 541-555, 2008.
 [Abstract]

J. Llibre
La conjectura 3x+1 i els límits de la matemàtica.
Materials matemàtics, 2008(1). 1-15, 2008.
 [Abstract]

J. Llibre
On the limit cycles of the Liénard differential systems.
Bol. Soc. Esp. Mat. Apl. SEMA, 42, 37-48, 2008.
 [Abstract]

J. Llibre
Open problems on the algebraic limit cycles of planar polynomial vector fields.
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica, 56(1). 19-26, 2008.
 [Abstract]

J. Llibre, J. Medrado, P. Silva
Limit cycles for Singular Perturbation Problems via Inverse Integrating Factor.
Bol. Soc. Parana. Mat., 26(01/02/09). 41-52, 2008.
 [Abstract]

J. Llibre, L. Mello
New central configurations for the planar 5-body problem.
Celestial Mech. Dynam. Astronom., 100, 141-149, 2008.
 [Abstract]

J. Llibre, M. Messias, P. Silva
On the global dynamics of the Rabinovich system.
J. Physics A: Math. and Theor., 41, 1-21, 2008.
 [Abstract]

J. Llibre, R. Ortega
On the families of periodic orbits of the Sitnikov problem.
SIAM J. Appl. Dyn. Syst., 7(2). 561-576, 2008.
 [Abstract]

J. Llibre, E. Ponce, F. Torres
On the existence and uniqueness of limit cycles in Liénard differential equations allowing discontinuities.
Nonlinearity, 21(9). 2121-2142, 2008.
 [Abstract]

J. Llibre, A. Tarta
Periodic orbits for some systems of delay differential equations.
Acta Math. Sin., 24(2). 267-274, 2008.
 [Abstract]

J. Llibre, C. Valls
Analytic integrability of a Chua system.
J. Math. Phys., 49, 1-9, 2008.
 [Abstract]

J. Llibre, C. Valls
Centers for a 6-parameter family of polynomial vector fields of arbitrary degree.
Bull. Sci. Math., 132, 40-53, 2008.
 [Abstract]

J. Llibre, C. Valls
Darboux integrability and algebraic invariant surfaces for the Rikitake system.
J. Math. Phys., 49, 03270201-03270217, 2008.
 [Abstract]

J. Llibre, C. Valls
Global analytic integrability of the Rabinovich system.
J. Geometry and Physics, 58, 1762-1771, 2008.
 [Abstract]

J. Llibre, C. Valls
Integrability of a Sis Model.
J. Math. Anal. Appl., 344(1). 574-578, 2008.
 [Abstract]

J. Llibre, C. Valls
On the global analytic integrability of the Belousov-Zhabotinskii system.
Adv. Nonlinear Stud., 8, 871-882, 2008.
 [Abstract]

J. Llibre, H. Wu
Hopf bifurcation for degenerate singular points of multiplicity 2n-1 in dimension 3.
Bull. Sci. Math., 132, 218-231, 2008.
 [Abstract]

J. Llibre, J. Yu, X. Zhang
Limit Cycles Coming From The Perturbation Of 2-Dimensional Centers Of Vector Fields In $R3$.
Dynam. Systems Appl., 17, 625-636, 2008.
 [Abstract]

J. Llibre, X. Zhang
On the algebraic limit cycles of Liénard systems.
Nonlinearity, 21(9). 2011-2022, 2008.
 [Abstract]

J. Llibre, P. Silva, M. Teixeira
Sliding Vector Fields Via Slow-fast Systems.
Bull. Belg. Math. Soc. Simon Stevin, 15(5). 851-869, 2008.
 [Abstract]

H. Zoladek, J. Llibre
The Poincaré center problem.
J. Dyn. Control Syst., 14(4). 505-535, 2008.
 [Abstract]

J. C. Artés, J. Llibre, J. Medrado
Nonexistence of limit cycles for a class of structurally stable quadratic vector fields.
Discrete Contin. Dynam. Systems, 17(2). 259-270, 2007.
 [Abstract]

J. C. Artés, J. Llibre, N. Vulpe
Quadratic systems with a rational first integral of degree 2: a complete classification in the coefficient space $R12$.
Rend. Circ. Mat. Palermo (2), 56, 417-444, 2007.
 [Abstract]

A. Buica, J. Françoise, J. Llibre
Periodic solutions of nonlinear periodic differential systems with a small parameter.
Commun. Pure Appl. Anal., 6(1). 103-111, 2007.
 [Abstract]

A. Buica, J. Llibre
Limit cycles of a perturbed cubic polynomial differential center.
Chaos Solitons Fractals, 32(3). 1059-1069, 2007.
 [Abstract]

C. Buzzi, J. Llibre, J. Medrado
Periodic orbits for a class of reversible quadratic vector field on R³.
J. Math. Anal. Appl., 335, 1335-1346, 2007.
 [Abstract]

C. Buzzi, J. Llibre, P. Silva
On the dynamics of the Bianchi IX System.
J. Phys. A, 40, 7187-7192, 2007.
 [Abstract]

L. Cairó, J. Llibre
Phase portraits of cubic polynomial vector fields of Lotka-Volterra type having a rational first integral of degree 2.
J. Phys. A, 40, 6329-6348, 2007.
 [Abstract]

L. Cairó, J. Llibre
Phase portraits of quadratic polynomial vector fields having a rational first integral of degree 2.
Nonlinear Anal., Ser. A: Theory Methods, 67(2). 327-348, 2007.
 [Abstract]

L. Cairó, J. Llibre
Polynomial first integrals for weight-homogeneous planar polynomial differential systems of weight degree 3.
J. Math. Anal. Appl., 331(2). 1284-1298, 2007.
 [Abstract]

X. Chen, J. Llibre, Z. Zhang
Sufficient conditions for the existence of at least n or exactly n limit cycles for the Liénard differential systems.
J. Differential Equations, 242, 11-23, 2007.
 [Abstract]

C. Christopher, J. Llibre, C. Pantazi, S. Walcher
Inverse Problems for multiple invariant curves.
Proc. Roy. Soc. Edinburgh Sect. A, 137, 1197-1226, 2007.
 [Abstract]

C. Christopher, J. Llibre, J. Pereira
Multiplicity of invariant algebraic curves in polynomial vector fields.
Pacific J. Math., 229(1). 63-117, 2007.
 [Abstract]

M. Corbera, J. Llibre
Generation of symmetric periodic orbits by a heteroclinic loop formed by two singular points and their invariant manifolds of dimension 1 and 2 in $R3$.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 17(9). 3295-3302, 2007.
 [Abstract]

A. Ferragut, J. Llibre
On the remarkable values of the rational first integrals of polynomial vector fields.
J. Differential Equations, 241, 399-417, 2007.
 [Abstract]

A. Ferragut, J. Llibre, A. Mahdi
Polynomial inverse integrating factors for polynomial vector fields.
Discrete Contin. Dynam. Systems, 17(2). 387-395, 2007.
 [Abstract]

A. Ferragut, J. Llibre, M. Teixeira
Hyperbolic periodic orbits from the bifurcation of a 4-dimensional non-linear center.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 17(6). 2159-2167, 2007.
 [Abstract]

A. Ferragut, J. Llibre, M. Teixeira
Periodic orbits for a class of $C1$ three-dimensional systems.
Rend. Circ. Mat. Palermo (2), 56(1). 101-115, 2007.
 [Abstract]

H. Giacomini, J. Giné, J. Llibre
Corrigendum to: The problem of distinguishing between a center and a focus for nilpotent and degenerate analytic systems [J. Differential Equations 227 (2006), no. 2, 406-426].
J. Differential Equations, 232(2). 702, 2007.
 [Abstract]

J. Giné, J. Llibre
Limit cycles of cubic polynomial vector fields via the averaging theory.
Nonlinear Anal., Ser. A: Theory Methods, 66, 1707-1721, 2007.
 [Abstract]

C. Gutierrez, X. Jarque, J. Llibre, M. Teixeira
Global injectivity of $C1$ maps of the real plane, inseparable leaves and the Palais-Smale condition.
Canad. Math. Bull. Vol., 50(3). 377-389, 2007.
 [Abstract]

V. Jiménez, J. Llibre
A topological characterization of the w-limit sets for analytic flows on the plane, the sphere and the projective plane.
Adv. Math., 216(2). 677-710, 2007.
 [Abstract]

J. Llibre, C. Buzzi, P. Silva
3-dimensional Hopf bifurcation via averaging theory.
Discrete Contin. Dynam. Systems, 17(3). 529-540, 2007.
 [Abstract]

J. Llibre, A. Mahdi
On the number of singular points of the radial projection of polynomial gradient vector fields of $R3$ on the sphere $S2$.
Comm. on Applied Nonlinear Analysis, 14(4). 77-84, 2007.
 [Abstract]

J. Llibre, J. Medrado
On the invariant hyperplanes for d-dimensional polynomial vector fields.
J. Phys. A, 40, 8385-8391, 2007.
 [Abstract]

J. Llibre, M. Messias
Large amplitude oscillations for a class of symmetric polynomial differential systems in $R3$.
An. Acad. Brasil. Ci., 79(4). 1-13, 2007.
 [Abstract]

J. Llibre, D. Pasca
Erratum to: Periodic orbits of the planar collision restricted 3-body problem [Celestial Mech. Dynam. Astronom. 96(1) (2006), 19-29].
Celestial Mech. Dynam. Astronom., 98(3). 217, 2007.
 [Abstract]

J. Llibre, D. Pasca
Periodic orbits near a heteroclinic loop formed by one dimensional orbit and a 2-dimensional manifold: application to the charged collinear 3-body problem.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 17(6). 2175-2183, 2007.
 [Abstract]

J. Llibre, E. Ponce, A. E. Teruel
Horseshoes near homoclinic orbits for piecewise linear differential systems in $R3$.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 17(4). 1171-1184, 2007.
 [Abstract]

J. Llibre, G. Swirszcz
Classification of quadratic systems admitting the existence of an algebraic limit cycle.
Bull. Sci. Math., 131(5). 405-421, 2007.
 [Abstract]

J. Llibre, A. Tarta
Periodic solutions for some systems of delay differential equations.
Journal of Dynamics and Differential Equations, 19(1). 199-213, 2007.
 [Abstract]

J. Llibre, M. Teixeira
Global asymptotic stability for a class of discontinuous vector fields in $R2$.
Dynamical Systems: An International Journal, 22(2). 133-146, 2007.
 [Abstract]

J. Llibre, M. Teixeira, J. Torregrosa
Limit cycles bifurcating from a $k$-dimensional isochronous center contained in $Rn$ with $k\le n$.
Math. Phys. Anal. Geom., 10, 237-249, 2007.
 [Abstract]

J. Llibre, C. Valls
Formal and analytical integrability of the Rossler system.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 17(9). 3289-3293, 2007.
 [Abstract]

J. Llibre, C. Valls
Global analytic first integrals for the real planar Lotka-Volterra system.
J. Math. Phys., 48(3). 033507, 13, 2007.
 [Abstract]

J. Llibre, C. Valls
On the integrability of the Einstein-Yang-Mills equations.
J. Math. Anal. Appl., 336(2). 1203-1230, 2007.
 [Abstract]

J. Llibre, J. Yu
Limit Cycles for a class of three dimensional polynomial differential systems.
J. Dyn. Control Syst., 13(4). 531-539, 2007.
 [Abstract]

J. Llibre, J. Yu
On the upper bound of the number of limit cycles obtained by the second order averaging method.
Dynam. Contin. Discrete Impuls. Systems. Ser. B, 6, 841-873, 2007.
 [Abstract] [Full PDF]

J. Llibre, Y. Zhao
Algebraic limit cycles in polynomial systems of differential equations.
J. Phys. A: Math. Gen., 40, 14207-14222, 2007.
 [Abstract]

J. Llibre, P. Silva
Singularly perturbed quadratic polynomial differential systems on the plane.
Rev. Mat. Estatíst., 25, 137-150, 2007.
 [Abstract]

J. Llibre, P. Silva, M. Teixeira
Regularization of discontinuous vector fields on $R3$ via singular perturbation.
Journal of Dynamics and Differential Equations, 19(2). 309-331, 2007.
 [Abstract]

J. C. Artés, J. Llibre, D. Schlomiuk
The geometry of quadratic differential systems with a weak focus of second order.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 16(11). 3127-3194, 2006.
 [Abstract]

F. Balibrea, J. Guirao, M. Lampart, J. Llibre
Dynamics of a Lotka-Volterra map.
Fund. Math., 191(3). 265-279, 2006.
 [Abstract]

J. Chavarriga, B. García, J. Llibre, J. Pérez del Río, J. Rodríguez
Polynomial first integrals of quadratic vector fields.
J. Differential Equations, 230(2). 393-421, 2006.
 [Abstract]

J. Chavarriga, I. García, J. Llibre, H. Zoladek
Invariant algebraic curves for the cubic Liénard system with linear damping.
Bull. Sci. Math., 130(5). 428-441, 2006.
 [Abstract]

F. Chen, C. Li, J. Llibre, Z. Zhang
A unified proof on the weak Hilbert's 16th problem for $n=2$.
J. Differential Equations, 221(2). 309-342, 2006.
 [Abstract]

G. Chen, C. Li, C. Liu, J. Llibre
The cyclicity of period annuli of some classes of reversible quadratic systems.
Discrete Contin. Dynam. Systems, 16(1). 157-177, 2006.
 [Abstract]

M. Corbera, J. Llibre
Infinitely many periodic orbits for the rhomboidal 5-body problem.
J. Math. Phys., 47, 1-13, 2006.
 [Abstract]

M. Corbera, J. Llibre
Symmetric periodic orbits near a heteroclinic loop at infinity for a class of polynomial vector fields.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 16(11). 3401-3410, 2006.
 [Abstract]

M. Corbera, J. Llibre, E. Pérez-Chavela
Symmetric periodic orbits near a heteroclinic loop formed by two singular points and their invariant manifolds of dimension 1 and 2.
J. Physics A:Math. and Gen., 39(50). 1-14, 2006.
 [Abstract]

F. Dumortier, J. Llibre, J. C. Artés
Qualitative theory of planar differential systems.
Springer-Verlag, Berlin, 2006.
 [Abstract]

B. García, J. Llibre, J. Pérez del Río
Phase portraits of the quadratic vector fields with a polynomial first integral.
Rend. Circ. Mat. Palermo (2), 55, 420-440, 2006.
 [Abstract]

R. Garcia, J. Llibre, J. Sotomayor
Lines of Principal Curvature on Canal Surfaces in $R3$.
An. Acad. Brasil. Ci., 78(3). 405-415, 2006.
 [Abstract]

H. Giacomini, J. Giné, J. Llibre
The problem of distinguishing between a center and a focus for nilpotent and degenerate analytic systems.
J. Differential Equations, 227(2). 406-426, 2006.
 [Abstract]

J. Giné, J. Llibre
Integrability, degenerate centers and limit cycles for a class of polynomial differential systems.
Comput. Math. Appl., 51, 1453-1462, 2006.
 [Abstract]

J. Llibre
Una reflexió sobre el racó de l'univers on vivim i la seva relació amb un instant crucial de la història.
Materials matemàtics, 2006(16). 1-13, 2006.
 [Abstract]

J. Llibre, M. Misiurewicz
Negative periodic orbits for graph maps.
Nonlinearity, 19(3). 741-746, 2006.
 [Abstract]

J. Llibre, D. Pasca
Periodic orbits of the planar collision restricted 3-body problem.
Celestial Mech. Dynam. Astronom., 96(1). 19-29, 2006.
 [Abstract]

J. Llibre, C. Pessoa
Homogeneous polynomial vector fields of degree 2 on the 2 dimensional sphere.
Extracta Math., 21(2). 167-190, 2006.
 [Abstract]

J. Llibre, C. Pessoa
Invariant circles for homogeneous polynomial vector fields on the $2$-dimensional sphere.
Rend. Circ. Mat. Palermo (2), 55(1). 63-81, 2006.
 [Abstract]

J. Llibre, G. Swirszcz
Relationships between limit cycles and algebraic invariant curves for quadratic systems.
J. Differential Equations, 229(2). 529-537, 2006.
 [Abstract]

J. Llibre, A. Tarta
Periodic solutions of delay equations with three delays via bi-Hamiltonian Systems.
Nonlinear Anal., Ser. A: Theory Methods, 64(11). 2433-2441, 2006.
 [Abstract]

J. Llibre, M. Teixeira
Limit Cycles for a Mechanical System Coming from the Perturbation of a Four-Dimensional Linear Center.
Journal of Dynamics and Differential Equations, 18(4). 931-941, 2006.
 [Abstract]

J. Llibre, C. Valls
Formal and analytical integrability of the Bianchi IX system.
J. Math. Phys., 47(2). 022704, 15, 2006.
 [Abstract]

J. Llibre, N. Vulpe
Planar cubic polynomial differential systems with the maximum number of invariant straight lines.
Rocky Mountain J. Math., 36, 1301-1373, 2006.
 [Abstract]

M. Alvarez, M. Corbera, J. Delgado, J. Llibre
The number of planar central configurations for the 4-body problem is finite when 3 mass positions are fixed.
Proc. Amer. Math. Soc., 133(2). 529-536, 2005.
 [Abstract]

A. Buica, J. Llibre
Bifurcation of limit cycles from a four-dimensional center in control systems.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 15(8). 2653-2662, 2005.
 [Abstract]

C. Christopher, J. Llibre, G. Swirszcz
Invariant algebraic curves of large degree for quadratic systems.
J. Math. Anal. Appl., 303(2). 450-461, 2005.
 [Abstract]

D. Dobrovolschi, J. Llibre
Boundedness, invariant algebraic surfaces and global dynamics for a spectral model of large-scale atmospheric circulation.
J. Math. Phys., 46(7). 1-20, 2005.
 [Abstract]

J. Giné, J. Llibre
A family of isochronous foci with Darbouxian first integral.
Pacific J. Math., 218(2). 343-356, 2005.
 [Abstract]

J. Giné, J. Llibre
Darboux Integrability and Limit Cycles for a Class of Polynomial Differential Systems.
In Differential equations with symbolic computation, 55-65. Birkhäuser, Basel, 2005.
 [Abstract]

J. Giné, J. Llibre
Integrability and algebraic limit cycles for polynomial differential systems with homogeneous nonlinearities.
J. Differential Equations, 208, 531-545, 2005.
 [Abstract]

X. Jarque, J. Llibre, D. Shafer
Structural Stability of Planar Polynomial Foliations.
J. Dynam. Differential Equations, 17(3). 573-587, 2005.
 [Abstract]

Q. Jiang, J. Llibre
Qualitative classification of singular points.
Qual. Theory Dyn. Syst., 6(1). 87-167, 2005.
 [Abstract]

J. Llibre
Càcul de longituds, àrees i volums comptant punts.
Mem. R. Academia de Ciencias y Artes de Barcelona, 52(3). 95-113, 2005.
 [Abstract]

J. Llibre, J. Medrado
Darboux Integrability and Reversible Quadratic Vector Fields.
Rocky Mountain J. Math., 1999-2058, 2005.
 [Abstract]

J. Llibre, C. Pantazi
Counterexample to a conjecture on the algebraic limit cycles of polynomial vector fields.
Geom. Dedicata, 110(1). 213-219, 2005.
 [Abstract]

J. Llibre, E. Pérez-Chavela
An application of the Melnikov integral to a restricted three body problem.
In Symmetry and perturbation theory. Proceedings of the International Conference on SPT 2004, 175-182. World Scientific, 2005.
 [Abstract]

J. Llibre, E. Pérez-Chavela
Transversal Homoclinic Orbits in the Collinear Restricted Three Body Problem.
J. Nonlinear Sci., 15(1). 1-10, 2005.
 [Abstract]

J. Llibre, M. Todd
Periods for holomorphic maps via Lefschetz numbers.
Abstract and Applied Analysis, 6, 575-579, 2005.
 [Abstract]

J. Llibre, M. Todd
Periods, Lefschetz numbers and entropy for a class of maps on a bouquet of circles.
J. Difference Equ. Appl., 11(12). 1049-1069, 2005.
 [Abstract]

J. Llibre, C. Valls
Formal and analytic first integrals of the Einstein-Yang-Mills equations.
J. Phys. A, 38(37). 8155-8168, 2005.
 [Abstract]

J. Llibre, C. Valls
Formal and analytic integrability of the Lorenz system.
J. Phys. A, 38(12). 2681-2686, 2005.
 [Abstract]

J. Llibre, C. Valls
Integrability of the Bianchi IX system.
J. Math. Phys., 46(7). 1-13, 2005.
 [Abstract]

A. Buica, J. Llibre
Averaging methods for finding periodic orbits via Brouwer degree.
Bull. Sci. Math., 128(1). 7-22, 2004.
 [Abstract]

M. Chamberland, J. Llibre, G. Swirszcz
Weakened Markus-Yamabe conditions for 2-dimensional global asymptotic stability.
Nonlinear Anal., Ser. A: Theory Methods, 59(6). 951-958, 2004.
 [Abstract]

J. Chavarriga, J. Llibre, J. Sorolla
Algebraic Limit Cycles of Degree 4 for Quadratic Systems.
J. Differential Equations, 200(2). 206-244, 2004.
 [Abstract]

M. Corbera, J. Llibre
Families of periodic orbits for the spatial isosceles $3$-body problem.
SIAM J. Math. Anal., 35(5). 1311-1346, 2004.
 [Abstract]

M. Corbera, J. Llibre, E. Pérez-Chavela
Equilibrium points and central configurations for the Lennard-Jones 2 and 3 body problems.
Celestial Mech. Dynam. Astronom., 89, 235-266, 2004.
 [Abstract]

M. Corbera, J. Llibre, E. Pérez-Chavela
Symmetric planar non-collinear relative equilibria for the Lennard-Jones potential 3-body problem with two equal masses.
In Proceedings of the 6th Conference on Celestial Mechanics (Spanish), 93-114. Real Acad. Ci. Exact., Fí s. Quí m. Nat. Zar, Zaragoza, 2004.
 [Abstract]

J. M. Cors, J. Llibre
The global flow of the parabolic restricted three-body problem.
Celestial Mech. Dynam. Astronom., 90(01/02/09). 13-33, 2004.
 [Abstract]

J. M. Cors, J. Llibre, M. Ollé
Central Configurations of the Planar Coorbital satellite Problem.
Celestial Mech. Dynam. Astronom., 89(4). 319-342, 2004.
 [Abstract]

J. Delgado, E. Lacomba, J. Llibre, editors.
New advances in celestial mechanics and Hamiltonian systems.
Kluwer Academic/Plenum Publishers, New York, 2004.

M. Falconi, E. Lacomba, J. Llibre
On the Parameter Dependence of the Real Cubic Surfaces in Arnold's form.
Rend. Circ. Mat. Palermo (2), 53(2). 153-164, 2004.
 [Abstract]

M. Falconi, J. Llibre
$n-1$ Independent First Integrals for Linear Differential Systems in $Rn$ and $Cn$.
Qual. Theory Dyn. Syst., 4(2). 233-254, 2004.
 [Abstract]

J. Giné, J. Llibre
Integrability and algebraic limit cycles for polynomial differential systems with homogeneous nonlinearities.
J. Differential Equations, 197(1). 147-161, 2004.
 [Abstract]

C. Li, J. Llibre
A Unified Study on the Cyclicity of Period Annulus of the Reversible Quadratic Hamiltonian Systems.
Journal of Dynamics and Differential Equations, 16(2). 271-295, 2004.
 [Abstract]

W. Li, J. Llibre, X. Zhang
Melnikov functions for period annulus, nondegenerate centers, heteroclinic and homoclinic cycles.
Pacific J. Math., 213(1). 49-78, 2004.
 [Abstract]

J. Llibre
Integrability of polynomial differential systems.
In Handbook of Differential Equations (Ordinary Differential Equations Volume I), 437-532. Elsevier, Northholland, 2004.
 [Abstract]

J. Llibre, M. Ollé
Horseshoe periodic orbits in the restricted three body problem.
In New advances in celestial mechanics and Hamiltonian systems, 137-152. Kluwer/Plenum, New York, 2004.
 [Abstract]

J. Llibre, C. Pantazi
Polynomial differential systems having a given Darbouxian first integral.
Bull. Sci. Math., 128(9). 775-788, 2004.
 [Abstract]

J. Llibre, G. Rodríguez
Configurations of limit cycles and planar polynomial vector fields.
J. Differential Equations, 198(2). 374-380, 2004.
 [Abstract]

J. Llibre, D. Schlomiuk
The geometry of quadratic differential systems with a weak focus of third order.
Canadian J. of Math., 56(2). 310-343, 2004.
 [Abstract]

J. Llibre, A. E. Teruel
Existence of Poincaré maps in piecewise linear differential systems in $R^n$.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 14(8). 2843-2851, 2004.
 [Abstract]

Ll. Alsedà, S. Kolyada, J. Llibre, L. Snoha
Axiomatic definition of the topological entropy on the interval.
Aequationes Math., 65, 113-132, 2003.
 [Abstract]

J. C. Artés, J. Llibre
Statistical Measure Of Quadratic Vector Fields.
Resenhas, 6(1). 85-97, 2003.
 [Abstract]

L. Cairó, H. Giacomini, J. Llibre
Liouvillan first integrals for the planar Lotka-Volterra system.
Rend. Circ. Mat. Palermo (2), 52, 389-418, 2003.
 [Abstract]

J. Chavarriga, H. Giacomini, J. Giné, J. Llibre
Darboux integrability and the inverse integrating factor.
J. Differential Equations, 194(1). 116-139, 2003.
 [Abstract]

J. Chavarriga, H. Giacomini, J. Giné, J. Llibre
Local analytic integrability for nilpotent centers.
Ergodic Theory Dynam. Systems, 23(2). 417-428, 2003.
 [Abstract]

L. Cherkas, J. C. Artés, J. Llibre
Quadratic systems with limit cycles of normal size.
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica, 41(1). 31-46, 2003.
 [Abstract]

M. Corbera, J. Llibre
Periodic orbits of a collinear restricted three body problem.
Celestial Mech. Dynam. Astronom., 86(2). 163-183, 2003.
 [Abstract]

M. Corbera, J. Llibre
Symmetric periodic orbits for the collinear $3$-body problem via the continuation method.
In Developments in Mathematical and Experimental Physics, Volume C: Hydrodynamics and Dynamical Systems, 117-141. Kluwer Acad. Publ., Dordrecht, 2003.
 [Abstract]

H. Giacomini, M. Viano, J. Llibre
Semistable limit cycles that bifurcate from centers.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 13(11). 3489-3498, 2003.
 [Abstract]

C. Li, W. Li, J. Llibre, Z. Zhang
New families of centers and limit cycles for polynomial differential systems with homogeneous nonlinearities.
Ann. Differential Equations, 19(3). 302-317, 2003.
 [Abstract]

W. Li, J. Llibre, X. Zhang
Local first integrals of differential systems and diffeomorphisms.
Z. Angew. Math. Phys., 54(2). 235-255, 2003.
 [Abstract]

J. Llibre
A note on the set of periods of transversal homological sphere self-maps.
J. Difference Equ. Appl., 9(03/04/09). 417-422, 2003.
 [Abstract]

J. Llibre
On the degree of the invariant algebraic curves of polynomial differential systems.
In XVIII CEDYA/VIII Congress of Applied Mathematics (Tarragona,2003), 8 pp. Universitat Rovira i Virgili, 2003.
 [Abstract]

J. Llibre, J. Paraños, J. Rodríguez
Periods for continuous self maps of the figure-eigth space.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 13(7). 1743-1754, 2003.
 [Abstract]

J. Llibre, E. Ponce
Piecewise linear feedback systems with arbitrary number of limit cycles.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 13(4). 895-904, 2003.
 [Abstract]

J. Llibre, E. Ponce, X. Zhang
Existence of Piecewise linear differential systems with exactly $n$ limit cycles for all $n\in N$.
Nonlinear Anal., Ser. A: Theory Methods, 54(5). 977-994, 2003.
 [Abstract]

A. Albouy, J. Llibre
Spatial central configurations for the $1+4$ body problem.
In Celestial mechanics (Evanston, IL, 1999). Contemporary Mathematics, 1-16. Amer. Math. Soc., Providence, RI, 2002.
 [Abstract]

L. Cairó, J. Llibre
Darbouxian first integrals and invariants for real quadratic systems having an invariant conic.
J. Physics A:Math. and Gen., 35(3). 589-608, 2002.
 [Abstract]

C. Christopher, J. Llibre
A family of quadratic polynomial differential systems with invariant algebraic curves of arbitrarily high degree without rational first integrals.
Proc. Amer. Math. Soc., 130(7). 2025-2030, 2002.
 [Abstract]

C. Christopher, J. Llibre, C. Pantazi, X. Zhang
Darboux integrability and invariant algebraic curves for planar polynomial systems.
J. Physics A:Math. and Gen., 35(10). 2457-2476, 2002.
 [Abstract]

M. Cobo, C. Gutierrez, J. Llibre
On the injectivity of $C1$ maps of the real plane.
Canad. J. Math., 54(6). 1187-1201, 2002.

M. Corbera, J. Llibre
On symmetric periodic orbits of the elliptic Sitnikov problem via the analytic continuation method.
In Celestial mechanics (Evanston, IL, 1999). Contemporary Mathematics, 91-127. Amer. Math. Soc., Providence, RI, 2002.
 [Abstract]

A. Gasull, W. Li, J. Llibre, Z. Zhang
Chebyshev property of complete elliptic integrals and its application to Abelian integrals.
Pacific J. Math., 202(2). 341-361, 2002.
 [Abstract]

C. Gutierrez, J. Llibre
Darbouxian integrability for polynomial vector fields on the $2$-dimensional sphere.
Extracta Math., 17(2). 289-301, 2002.
 [Abstract]

E. Lacomba, J. Llibre, E. Pérez-Chavela
The generalized Sitnikov problem.
In Celestial mechanics (Evanston, IL, 1999). Contemporary Mathematics, 147-158. Amer. Math. Soc., Providence, RI, 2002.
 [Abstract]

C. Li, W. Li, J. Llibre, Z. Zhang
Linear estimation of the number of zeros of abelian integrals for some cubic isochronous centers.
J. Differential Equations, 180(2). 307-333, 2002.
 [Abstract]

W. Li, J. Llibre, M. Nicolau, X. Zhang
On the differentiability of first integrals of two dimensional flows.
Proc. Amer. Math. Soc., 130(7). 2079-2088, 2002.
 [Abstract]

W. Li, J. Llibre, X. Zhang
Extension of Floquet's theory to nonlinear periodic differential systems and embedding diffeomorphisms in differential flows.
Amer. J. Math., 124(1). 107-127, 2002.
 [Abstract]

J. Llibre, editors.
Una reflexió sobre el racó de l'univers on vivem i la seva relació amb un instant crucial de la història de la ciència.
2002.

J. Llibre
Averaging theory and limit cycles for quadratic systems.
Radovi Matematicki, 11, 215-228, 2002.
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J. Llibre
Orbites periòdiques dels sistemes Hamiltonians amb 2 graus de llibertat via homeomorfismes de superfície.
Memorias de la Real Academia de Ciencias y Artes de Barcelona, LX, 1-29, 2002.
 [Abstract]

J. Llibre, E. Nuñez, A. E. Teruel
Limit cycles for planar piecewise linear differential systems via first integrals.
Qual. Theory Dyn. Syst., 3(1). 29-50, 2002.
 [Abstract]

J. Llibre, E. Piña
Saari's conjecture holds for the planar $3$-body problem.
2002.
 [Abstract]

J. Llibre, G. Rodríguez
Darbouxian integrability of polynomial vector fields with special emphasis on the Two-dimensional surfaces.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 12(12). 2821-2833, 2002.
 [Abstract]

J. Llibre, A. Sá
Minimal set of periods for continuous self-maps of a bouquet of circles.
2002.
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J. Llibre, J. Sotomayor, M. Zhitomirskii
Impasse bifurcations of constrained systems.
In Differential equations and dynamical systems (Lisbon, 2000), 235-255. Amer. Math. Soc., Providence, RI, 2002.
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J. Llibre, X. Zhang
Darboux integrability for the Rossler system.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 12(2). 421-428, 2002.
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J. Llibre, X. Zhang
Darboux integrability of real polynomial vector fields on regular algebraic hypersurfaces.
Rend. Circ. Mat. Palermo (2), 51(1). 109-126, 2002.
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J. Llibre, X. Zhang
Invariant algebraic surfaces of the Lorenz system.
J. Math. Phys., 43(3). 1622-1645, 2002.
 [Abstract]

J. Llibre, X. Zhang
Polynomial first integrals for quasi-homogeneous polynomial differential systems.
Nonlinearity, 15(4). 1269-1280, 2002.
 [Abstract]

M. Viano, J. Llibre, H. Giacomini
Arbitrary order bifurcations for perturbed Hamiltonian planar systems via the reciprocal of an integrating factor.
Nonlinear Anal., Ser. A: Theory Methods, 48(1). 117-136, 2002.
 [Abstract]

M. Alvarez, J. Llibre
Heteroclinic orbits and Bernoulli shift for the elliptic collision restricted three-body problem.
Arch. Ration. Mech. Anal., 156(4). 317-357, 2001.
 [Abstract]

J. Chavarriga, H. Giacomini, J. Llibre
Uniqueness of algebraic limit cycles for quadratic systems.
J. Math. Anal. Appl., 261(1). 85-99, 2001.
 [Abstract]

J. Chavarriga, J. Llibre
Invariant algebraic curves and rational first integrals for planar polynomial vector fields.
J. Differential Equations, 169(1). 1-16, 2001.
 [Abstract]

J. Chavarriga, J. Llibre, J. Moulin-Ollagnier
On a result of Darboux.
LMS J. Comput. Math., 4, 197-21, 2001.
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A. Cima, J. Li, J. Llibre
Periodic solutions of delay differential equations with two delay via bi-Hamiltonian systems.
Ann. Differential Equations, 17(3). 205-214, 2001.
 [Abstract]

M. Corbera, J. Llibre
Periodic and quasi-periodic orbits for the spatial isosceles three-body problem.
In Third Conference on Celestial Mechanics (Valladolid, 2000), 37-44. Univ. Zaragoza, Zaragoza, 2001.
 [Abstract]

H. Giacomini, J. Llibre, M. Viano
The shape of limit cycles that bifurcate from non-Hamiltonian centers.
Nonlinear Anal., Ser. A: Theory Methods, 43(7). 837-859, 2001.
 [Abstract]

G. Gómez, J. Llibre, R. Martínez, C. Simó
Dynamics and mission design near libration points. Vol. I: Fundamentals: The Case of Collinear Libration Points.
World Scientific Publishing Co. Inc., River Edge, NJ, 2001.
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G. Gómez, J. Llibre, R. Martínez, C. Simó
Dynamics and mission design near libration points. Vol. II: Fundamentals: The Case of Triangular Libration Points.
World Scientific Publishing Co. Inc., River Edge, NJ, 2001.
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X. Jarque, J. Llibre
Polynomial foliations in $R2$.
Pacific J. Math., 197(1). 53-72, 2001.
 [Abstract]

C. Li, W. Li, J. Llibre, Z. Zhang
Linear estimate of the number of zeros of Abelian integrals for a class of integrable non-Hamiltonian systems.
Nonlinear Anal., Ser. A: Theory Methods, 47(7). 4527-4531, 2001.
 [Abstract]

C. Li, W. Li, J. Llibre, Z. Zhang
Polynomial systems: a lower bound for the weakened 16th Hilbert problem.
Extracta Math., 16(3). 441-447, 2001.
 [Abstract]

W. Li, J. Llibre, X. Zhang
Planar analytic vector fields with generalized rational first integrals.
Bull. Sci. Math., 125(5). 341-361, 2001.
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J. Llibre
Una reflexió sobre el racó de l'univers on vivem i la seva relació amb un instant crucial de la història de la ciència.
In VI Trobada d'Història de la Ciència i de la Tècnica, 28-29 octubre 2000, 65-71. Vic, 2001.

J. Llibre, K. Meyer, J. Soler
Erratum: Bridges between the generalized Sitnikov family and the Lyapunov family of periodic orbits [J. Differential Equations 154 (1), 140-156, 1999].
J. Differential Equations, 169(2). 654, 2001.
 [Abstract]

J. Llibre, M. Ollé
Horseshoe periodic orbits for Saturn coorbital satellites.
In Third Conference on Celestial Mechanics (Valladolid, 2000), 29-36. Univ. Zaragoza, Zaragoza, 2001.
 [Abstract]

J. Llibre, M. Ollé
The motion of Saturn coorbital satellites in the Restricted Three-Body Problem.
Astronomy & Astrophysics, 378, 1087-1099, 2001.
 [Abstract]

J. Llibre, J. Pérez del Río, J. Rodríguez
Averaging analysis of a perturbated quadratic center.
Nonlinear Anal., Ser. A: Theory Methods, 46(1, Ser. A: Theory Methods). 45-51, 2001.
 [Abstract]

J. Llibre, A. E. Teruel, C. Valls, A. Fuente
Phase portraits of the two-body problem with Manev potential.
J. Physics A:Math. and Gen., 34(9). 1919-1934, 2001.
 [Abstract]

J. Llibre, X. Zhang
Invariant algebraic surfaces of the Belousov-Zhabotinskii systems.
Comput. Appl. Math., 20(01/02/09). 195-219, 2001.
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J. Llibre, X. Zhang
On the number of limit cycles for some perturbed Hamiltonian polynomial systems.
Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal., 8(2). 161-181, 2001.
 [Abstract]

J. Llibre, X. Zhang
Polynomial first integrals of quadratic systems.
Rocky Mountain J. Math., 31, 2001.
 [Abstract]

J. Llibre, X. Zhang
Topological phase portraits of planar semi-linear quadratic vector fields.
Houston J. Math., 27(2). 247-296, 2001.
 [Abstract]

Ll. Alsedà, J. Llibre, M. Misiurewicz
Combinatorial dynamics and entropy in dimension one. Second Edition.
World Scientific Publishing Co. Inc., River Edge NJ, 2000.
 [Abstract]

L. Cairó, J. Llibre
Darboux integrability for 3D Lotka-Volterra systems.
J. Physics A:Math. and Gen., 33(12). 2395-2406, 2000.
 [Abstract]

L. Cairó, J. Llibre
Integrability of the 2D Lotka-Volterra system via polynomial first integrals and polynomial inverse integrating factors.
J. Physics A:Math. and Gen., 33(12). 2407-2417, 2000.
 [Abstract]

L. Cairó, J. Llibre
Phase portraits of planar semi-homogeneous vector fields. II.
Nonlinear Anal., Ser. A: Theory Methods, 39(3). 351-363, 2000.
 [Abstract]

J. Chavarriga, H. Giacomini, J. Llibre, J. Mallol
Some criteria on the uniqueness of limit cycles in planar polynomial vector fields.
In International Conference on Differential Equations, (Berlin, 1999), 1424-1426. World Sci. Publishing, River Edge, NJ, 2000.

J. Chavarriga, J. Llibre, J. Sorolla
On the quartic algebraic solutions of quadratic systems.
In Proc. of XVI CEDYA, VI CMA, Univ. de las Palmas de Gran Canaria, 21-24 Septiembre 1999, 267-275. Las Palmas, 2000.

C. Christopher, J. Llibre
Integrability via invariant algebraic curves for planar polynomial differential systems.
Ann. Differential Equations, 16(1). 5-19, 2000.

M. Corbera, J. Llibre
2-dimensional invariant tori for the spatial isosceles 3-body problem.
In Hamiltonian systems and celestial mechanics (Pátzcuaro, 1998), 63-73. World Sci. Publishing, River Edge NJ, 2000.
 [Abstract]

M. Corbera, J. Llibre
Periodic orbits of the Sitnikov problem via a Poincaré map.
Celestial Mech. Dynam. Astronom., 77(4). 273-303, 2000.
 [Abstract]

M. Dantas, J. Llibre
The global flow for the synodical spatial Kepler problem.
In Hamiltonian systems and celestial mechanics (Pátzcuaro, 1998), 74-89. World Sci. Publishing, River Edge NJ, 2000.
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J. Delgado, E. Lacomba, E. Pérez-Chavela, J. Llibre, editors.
Hamiltonian systems and celestial mechanics.
World Scientific Publishing Co. Inc., River Edge NJ, 2000. Proceedings of the 3rd International Symposium (HAMSYS-98) held at Pátzcuaro, December 7-11, 1998.

N. Fagella, J. Llibre
Periodic points of holomorphic maps via Lefschetz numbers.
Trans. Amer. Math. Soc., 352(10). 4711-4730, 2000.
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M. Falconi, E. Lacomba, J. Llibre
Infinity manifolds of cubic polynomial Hamiltonian vector fields with 2 degrees of freedom.
In Hamiltonian systems and celestial mechanics (Pátzcuaro, 1998), 138-160. World Sci. Publishing, River Edge NJ, 2000.
 [Abstract]

A. Gasull, J. Llibre, V. Mañosa, F. Mañosas
The focus-centre problem for a type of degenerate system.
Nonlinearity, 13(3). 699-729, 2000.
 [Abstract]

H. Giacomini, J. Llibre, M. Viano
On the shape of limit cycles that bifurcate from Hamiltonian centers.
Nonlinear Anal., Ser. A: Theory Methods, 41(03/04/09). 523-537, 2000.
 [Abstract]

E. Lacomba, J. Llibre
On the dynamics and topology of the elliptic rectilinear restricted $3$-body problem.
Celestial Mech. Dynam. Astronom., 77(1). 1-15, 2000.
 [Abstract]

C. Li, W. Li, J. Llibre, Z. Zhang
Linear estimate for the number of zeros of abelian integrals for quadratic isochronous centres.
Nonlinearity, 13(5). 1775-1800, 2000.
 [Abstract]

C. Li, W. Li, J. Llibre, Z. Zhang
On the limit cycles of polynomial differential systems with homogeneous nonlinearities.
Proc. Edinb. Math. Soc., II. Ser., 43(3). 529-543, 2000.
 [Abstract]

J. Llibre
A short view of the univers.
Varia Mathematica, 1, 1-14, 2000.
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J. Llibre
Chaos in the Solar System.
Varia Mathematica, 1, 165-174, 2000.
 [Abstract]

J. Llibre, J. Pérez del Río, J. Rodríguez
Phase portraits of a new class of integrable quadratic vector fields.
Dynam. Contin. Discrete Impuls. Systems, 7(4). 595-616, 2000.
 [Abstract]

J. Llibre, J. Pérez del Río, J. Rodríguez
Structural stability of planar semi-homogeneous polynomial vector fields. Applications to critical points and to infinity.
Discrete Contin. Dynam. Systems, 6(4). 809-828, 2000.
 [Abstract]

J. Llibre, G. Rodríguez
Invariant hyperplanes and Darboux integrability for $d$-dimensional polynomial differential systems.
Bull. Sci. Math., 124(8). 599-619, 2000.
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J. Llibre, X. Zhang
Invariant algebraic surfaces of the Rikitake system.
J. Physics A:Math. and Gen., 33(42). 7613-7635, 2000.
 [Abstract]

Ll. Alsedà, S. Kolyada, J. Llibre, L. Snoha
Entropy and periodic points for transitive maps.
Trans. Amer. Math. Soc., 351(4). 1551-1573, 1999.
 [Abstract]

Ll. Alsedà, J. Llibre, M. Misiurewicz, editors.
Discrete dynamical systems.
World Scientific Publishing Co., Singapore, 1999. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 9 (1999), no. 9.
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Ll. Alsedà, J. Llibre, M. Misiurewicz
Low-dimensional combinatorial dynamics.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 9(9). 1687-1704, 1999.
 [Abstract]

L. Cairó, J. Chavarriga, J. Giné, J. Llibre
A class of reversible cubic systems with an isochronous center.
Comput. Math. Appl., 38(11/12/09). 39-53, 1999.
 [Abstract]

L. Cairó, M. Feix, J. Llibre
Darboux method and search of invariants for the Lotka-Volterra and complex quadratic systems.
J. Math. Phys., 40(4). 2074-2091, 1999.
 [Abstract]

L. Cairó, M. Feix, J. Llibre
Integrability and algebraic solutions for planar polynomial differential systems with emphasis on the quadratic systems.
Resenhas, 4(2). 127-161, 1999.
 [Abstract]

L. Cairó, J. Llibre
Integrability and algebraic solutions for the 2-D Lotka-Volterra system.
In Dynamical systems, plasmas and gravitation (Orléans la Source, 1997), 243-254. Springer, Berlin, 1999.
 [Abstract]

J. Chavarriga, H. Giacomini, J. Giné, J. Llibre
On the integrability of two-dimensional flows.
J. Differential Equations, 157(1). 163-182, 1999.
 [Abstract]

C. Christopher, J. Llibre
Algebraic aspects of integrability for polynomial systems.
Qual. Theory Dyn. Syst., 1(1). 71-95, 1999.
 [Abstract]

A. Cima, J. Li, J. Llibre
Area preserving flows on compact connected surfaces.
In Dynamical systems, plasmas and gravitation (Orléans la Source, 1997), 313-319. Springer, Berlin, 1999.
 [Abstract]

M. Leseduarte, J. Llibre
On the full periodicity kernel for one-dimensional maps.
Ergodic Theory Dynam. Systems, 19(1). 101-126, 1999.
 [Abstract]

J. Llibre, K. Meyer, J. Soler
Bridges between the generalized Sitnikov family and the Lyapunov family of periodic orbits.
J. Differential Equations, 154(1). 140-156, 1999.
 [Abstract]

J. Llibre, A. Nunes
Minimum number of fixed points for maps of the figure eight space.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 9(9). 1795-1802, 1999.
 [Abstract]

J. Llibre, J. Paraños, J. Rodríguez
Sets of periods for maps on connected graphs with zero Euler characteristic having all branching points fixed.
J. Math. Anal. Appl., 239(1). 85-100, 1999.
 [Abstract]

J. Llibre, E. Ponce
Bifurcation of a periodic orbit from infinity in planar piecewise linear vector fields.
Nonlinear Anal., Ser. A: Theory Methods, 36(5, Ser. B: Real World Appl.). 623-653, 1999.
 [Abstract]

Ll. Alsedà, J. Llibre, M. Misiurewicz
Badly ordered cycles of circle maps.
Pacific J. Math., 184(1). 23-41, 1998.
 [Abstract]

M. Alvarez, J. Llibre
Restricted three-body problems and the non-regularization of the elliptic collision restricted isosceles three-body problem.
Extracta Math., 13(1). 73-94, 1998.
 [Abstract]

J. C. Artés, B. Grünbaum, J. Llibre
On the number of invariant straight lines for polynomial differential systems.
Pacific J. Math., 184(2). 207-230, 1998.
 [Abstract]

J. C. Artés, R. Kooij, J. Llibre
Structurally stable quadratic vector fields.
Mem. Amer. Math. Soc., 134(639). viii+108, 1998.
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J. Bernat, J. Llibre
Hurwitz systems with periodic orbits. Counterexamples to Kalman and Markus-Yamabe conjectures.
In International Conference on Differential Equations (Lisboa, 1995), 39-58. World Sci. Publishing, River Edge NJ, 1998.

J. Chavarriga, J. Llibre
On the algebraic limit cycles of quadratic systems.
In IV Catalan Days of Applied Mathematics (Tarragona, 1998), 17-24. Univ. Rovira Virgili, Tarragona, 1998.
 [Abstract]

B. Jiang, J. Llibre
Minimal sets of periods for torus maps.
Discrete Contin. Dynam. Systems, 4(2). 301-320, 1998.
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J. Llibre
Algebraic solutions and integrability for planar polynomial differential systems.
In IV Catalan Days of Applied Mathematics (Tarragona, 1998), 81-88. Univ. Rovira Virgili, Tarragona, 1998.
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J. Llibre
Integrability and algebraic solutions for planar polynomial differential systems.
In XV CEDYA/V Congress on Applied Mathematics (Vigo, 1997), 45-51. Univ. Vigo, Vigo, 1998.
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J. Llibre, J. Paraños, J. Rodríguez
Periods for transversal maps on compact manifolds with a given homology.
Houston J. Math., 24(3). 397-407, 1998.
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J. Llibre, L. Pizarro, E. Ponce
Limit cycles of polynomial Liénard systems. Comment on: "Number of limit cycles of the Liénard equation" [Phys. Rev. E (3) 56 (1997), no. 4, 3809-3813, MR 98f:34035] by H. Giacomini and S. Neukirch.
Phys. Rev. E (3), 58(4). 5185-5187, 1998.
 [Abstract]

J. Llibre, G. Rodríguez
On a class of cubic planar polynomial foliations.
Dynam. Contin. Discrete Impuls. Systems, 4(1). 67-97, 1998.
 [Abstract]

J. Llibre, J. Sotomayor
Structural stability of constrained polynomial systems.
Bull. London Math. Soc., 30(6). 589-595, 1998.
 [Abstract]

J. Llibre, J. Villadelprat
A Poincaré index formula for surfaces with boundary.
Differential Integral Equations, 11(1). 191-199, 1998.
 [Abstract]

D. Maranhão, J. Llibre
Ejection-collision orbits and invariant punctured tori in a restricted four-body problem.
Celestial Mech. Dynam. Astronom., 71(1). 1-14, 1998.
 [Abstract]

Ll. Alsedà, S. Baldwin, J. Llibre, M. Misiurewicz
Entropy of transitive tree maps.
Topology, 36(2). 519-532, 1997.
 [Abstract]

J. C. Artés, B. Grünbaum, J. Llibre
On the invariant straight lines of polynomial differential systems.
Differ. Equ. Dyn. Syst., 5(03/04/09). 317-327, 1997.
 [Abstract]

J. C. Artés, J. Llibre
Quadratic vector fields with a weak focus of third order.
Publ. Mat., 41(1). 7-39, 1997.
 [Abstract]

L. Cairó, J. Llibre
Phase portraits of planar semi-homogeneous vector fields. I.
Nonlinear Anal., Ser. A: Theory Methods, 29(7). 783-811, 1997.
 [Abstract]

J. Chavarriga, J. Llibre, editors.
Simposium on planar vector fields.
Universitat Autònoma de Barcelona, Barcelona, 1997. Publ. Mat. Vol 41(1).
 [Abstract]

J. Chavarriga, J. Llibre, J. Sotomayor
Algebraic solutions for polynomial systems with emphasis in the quadratic case.
Exposition. Math., 15(2). 161-173, 1997.

J. Guaschi, J. Llibre
Orders and periods of algebraically-finite surface maps.
Houston J. Math., 23(3). 449-483, 1997.
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J. Llibre
On the algebraic solutions of polynomial systems.
Boletin de la Sociedad Matemática de Matemática Aplicada, 10, 8-13, 1997.
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J. Llibre, E. Ponce
Hopf bifurcation from infinity for planar control systems.
Publ. Mat., 41(1). 181-198, 1997.
 [Abstract]

J. Llibre, M. Teixeira
Regularization of discontinuous vector fields in dimension three.
Discrete Contin. Dynam. Systems, 3(2). 235-241, 1997.
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J. C. Artés, J. Llibre
Corrigendum: Quadratic Hamiltonian vector fields [J. Differential Equations 107 (1994), no. 1, 80-95].
J. Differential Equations, 129(2). 559-560, 1996.
 [Abstract]

J. C. Artés, J. Llibre
On the number of slopes of invariant straight lines for polynomial differential systems.
Nanjing Daxue Xuebao Shuxue Bannian Kan, 13(2). 143-149, 1996.
 [Abstract]

J. Bernat, J. Llibre
Counterexample to Kalman and Markus-Yamabe conjectures in dimension larger than 3.
Dynam. Contin. Discrete Impuls. Systems, 2(3). 337-379, 1996.

J. M. Cors, J. Llibre
Qualitative study of the hyperbolic collision restricted three-body problem.
Nonlinearity, 9(5). 1299-1316, 1996.
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J. M. Cors, J. Llibre
Qualitative study of the parabolic collision restricted three-body problem.
In Hamiltonian dynamics and celestial mechanics (Seattle, WA, 1995), 1-19. Amer. Math. Soc., Providence RI, 1996.
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W. Dicks, J. Llibre
Orientation-preserving self-homeomorphisms of the surface of genus two have points of period at most two.
Proc. Amer. Math. Soc., 124(5). 1583-1591, 1996.
 [Abstract]

H. Giacomini, J. Llibre, M. Viano
On the nonexistence, existence and uniqueness of limit cycles.
Nonlinearity, 9(2). 501-516, 1996.
 [Abstract]

S. Kaplan, R. Cushman, S. Hu, J. Llibre, C. McCord, D. Saari, Z. Xia
Directions of Hamiltonian dynamics and celestial mechanics.
In Hamiltonian dynamics and celestial mechanics (Seattle, WA, 1995), 229-240. Amer. Math. Soc., Providence RI, 1996.
 [Abstract]

E. Lacomba, J. Llibre, editors.
New trends for Hamiltonian systems and celestial mechanics.
World Scientific Publishing Co. Inc., River Edge NJ, 1996. Papers of the 2nd International Symposium on Hamiltonian Systems and Celestial Mechanics held in Cocoyoc, September 13-17, 1994.
 [Abstract]

M. Leseduarte, J. Llibre
The full periodicity kernel of the trefoil.
Ann. Inst. Fourier (Grenoble), 46(1). 219-262, 1996.
 [Abstract]

J. Llibre, J. Pérez del Río, J. Rodríguez
Structural stability of planar homogeneous polynomial vector fields: applications to critical points and to infinity.
J. Differential Equations, 125(2). 490-520, 1996.
 [Abstract]

J. Llibre, E. Ponce
Global first harmonic bifurcation diagram for odd piecewise linear control systems.
Dynam. Stability Systems, 11(1). 49-88, 1996.

J. Llibre, J. Sotomayor
Phase portraits of planar control systems.
Nonlinear Anal., Ser. A: Theory Methods, 27(10). 1177-1197, 1996.
 [Abstract]

J. Llibre, J. Waldvogel
Qualitative behaviour of the flow of the $n$-body problem in the zero energy level.
In New trends for Hamiltonian systems and celestial mechanics (Cocoyoc, 1994), 275-288. World Sci. Publishing, River Edge NJ, 1996.
 [Abstract]

Ll. Alsedà, S. Baldwin, J. Llibre, R. Swanson, W. Szlenk
Minimal sets of periods for torus maps via Nielsen numbers.
Pacific J. Math., 169(1). 1-32, 1995.
 [Abstract]

Ll. Alsedà, F. Balibrea, J. Llibre, M. Misiurewicz, editors.
Thirty Years after Sharkovskii's Theorem: New Perspectives.
World Scientific Publishing Co., Singapore, 1995. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 5 (1995), no. 5.
 [Abstract]

Ll. Alsedà, F. Balibrea, J. Llibre, M. Misiurewicz, editors.
Thirty years after Sharkovskiı's theorem: new perspectives.
World Scientific Publishing Co. Inc., River Edge NJ, 1995. Reprint of Internat. J. Bifur. Chaos Appl. Sci. Engrg. 5 (1995), no. 5.
 [Abstract]

S. Baldwin, J. Llibre
Periods of maps on trees with all branching points fixed.
Ergodic Theory Dynam. Systems, 15(2). 239-246, 1995.
 [Abstract]

J. Casasayas, J. Llibre, A. Nunes
Periodic orbits of transversal maps.
Math. Proc. Cambridge Philos. Soc., 118(1). 161-181, 1995.
 [Abstract]

A. Cima, A. Gasull, J. Llibre, F. Mañosas
Global injectivity of polynomial maps via vector fields.
In Automorphisms of affine spaces (Curaçao, 1994), 105-123. Kluwer Acad. Publ., Dordrecht, 1995.
 [Abstract]

J. M. Cors, J. Llibre
Chaos in the hyperbolic restricted 3-body problem.
In From Newton to chaos (Cortina d'Ampezzo, 1993), 315-318. Plenum, New York, 1995.
 [Abstract]

J. M. Cors, J. Llibre
The global flow of the hyperbolic restricted three-body problem.
Arch. Rational Mech. Anal., 131(4). 335-358, 1995.
 [Abstract]

J. Delgado, E. Lacomba, J. Llibre, E. Pérez
Poincaré compactification of Hamiltonian polynomial vector fields.
In Hamiltonian dynamical systems (Cincinnati, OH, 1992), 99-114. Springer, New York, 1995.
 [Abstract]

J. Delgado, E. Lacomba, J. Llibre, E. Pérez-Chavela
Models for explaining the structure of Saturn's F ring.
CAM94 Physics Meeting in Cancun, AIP Conference Proceedings 342, Amer. Instit. of Physics, 506-513, 1995.
 [Abstract]

C. Gillot, J. Llibre
Periods for maps of the figure-eight space.
In Thirty years after Sharkovskii's theorem: new perspectives (Murcia, 1994), 95-106. World Sci. Publishing, River Edge NJ, 1995.
 [Abstract]

C. Gillot, J. Llibre
Periods for maps of the figure-eight space.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 5(5). 1357-1368, 1995.
 [Abstract]

J. Guaschi, J. Llibre
Periodic points of $C1$ maps and the asymptotic Lefschetz number.
In Thirty years after Sharkovskii's theorem: new perspectives (Murcia, 1994), 107-111. World Sci. Publishing, River Edge NJ, 1995.
 [Abstract]

J. Guaschi, J. Llibre
Periodic points of $C1$ maps and the asymptotic Lefschetz number.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 5, 1369-1373, 1995.
 [Abstract]

A. Guillamon, X. Jarque, J. Llibre, J. Ortega, J. Torregrosa
Periods for transversal maps via Lefschetz numbers for periodic points.
Trans. Amer. Math. Soc., 347(12). 4779-4806, 1995.
 [Abstract]

X. Jarque, J. Llibre
Global structural stability of planar Hamiltonian vector fields.
In Hamiltonian dynamical systems (Cincinnati, OH, 1992), 171-180. Springer, New York, 1995.
 [Abstract]

M. Leseduarte, J. Llibre
On the set of periods for $\sigma$ maps.
Trans. Amer. Math. Soc., 347(12). 4899-4942, 1995.
 [Abstract]

C. Li, J. Llibre, Z. Zhang
Abelian integrals of quadratic Hamiltonian vector fields with an invariant straight line.
Publ. Mat., 39(2). 355-366, 1995.
 [Abstract]

C. Li, J. Llibre, Z. Zhang
Weak focus, limit cycles, and bifurcations for bounded quadratic systems.
J. Differential Equations, 115(1). 193-223, 1995.
 [Abstract]

J. Llibre
Some conjectures on planar polynomial vector fields and straight lines.
In 2nd Catalan Days on Applied Mathematics (Odeillo, 1995), 183-187. Presses Univ. Perpignan, Perpignan, 1995.
 [Abstract]

J. Llibre, J. Paraños, J. Rodríguez
On the extension of Sharkovskii's theorem to connected graphs with non-positive Euler characteristic.
In Thirty years after Sharkovskii's theorem: new perspectives (Murcia, 1994), 133-143. World Sci. Publishing, River Edge NJ, 1995.
 [Abstract]

J. Llibre, J. Paraños, J. Rodríguez
On the extension of Sharkovskii's theorem to connected graphs with non-positive Euler characteristic.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 5(5). 1395-1405, 1995.
 [Abstract]

J. Llibre, D. Saari
Periodic orbits for the planar Newtonian three-body problem coming from the elliptic restricted three-body problems.
Trans. Amer. Math. Soc., 347(8). 3017-3030, 1995.
 [Abstract]

J. C. Artés, J. Llibre
Phase portraits for quadratic systems having a focus and one antisaddle.
Rocky Mountain J. Math., 24(3). 875-889, 1994.
 [Abstract]

J. C. Artés, J. Llibre
Quadratic Hamiltonian vector fields.
J. Differential Equations, 107(1). 80-95, 1994.
 [Abstract]

E. Belbruno, J. Llibre, M. Ollé
On the families of periodic orbits which bifurcate from the circular Sitnikov motions.
Celestial Mech. Dynam. Astronom., 60(1). 99-129, 1994.
 [Abstract]

J. Casasayas, J. Llibre, A. Nunes
Central configurations of the planar $1+n$-body problem.
Celestial Mech. Dynam. Astronom., 60(2). 273-288, 1994.
 [Abstract]

J. Casasayas, J. Llibre, A. Nunes
Periods and Lefschetz zeta functions.
Pacific J. Math., 165(1). 51-66, 1994.
 [Abstract]

J. Delgado, E. Lacomba, J. Llibre, E. Pérez
Poincaré compactification of the Kepler and the collinear three-body problems.
In Seminar on Dynamical Systems (St. Petersburg, 1991), 117-128. Birkhauser, Basel, 1994.

X. Jarque, J. Llibre
Structural stability of planar Hamiltonian polynomial vector fields.
Proc. London Math. Soc. (3), 68(3). 617-640, 1994.
 [Abstract]

J. Llibre, A. Nunes
Separatrix surfaces and invariant manifolds of a class of integrable Hamiltonian systems and their perturbations.
Mem. Amer. Math. Soc., 107(513). viii+191, 1994.
 [Abstract]

J. Llibre, J. Paraños, J. Rodríguez
The full periodicity kernel for $\sigma$ maps.
J. Math. Anal. Appl., 183(3). 639-651, 1994.
 [Abstract]

J. Llibre, A. Sá
Periods for continuous self-maps of a bouquet of circles.
C. R. Acad. Sci. Paris Sér. I Math., 318(11). 1035-1040, 1994.
 [Abstract]

J. Llibre, J. Soler
An analytic estimation for the instability interval near second order resonances in the restricted three-body problem.
Z. Angew. Math. Phys., 45(6). 956-977, 1994.
 [Abstract]

Ll. Alsedà, S. Baldwin, J. Llibre, R. Swanson, W. Szlenk
Torus maps and Nielsen numbers.
In Nielsen theory and dynamical systems (South Hadley, MA, 1992), 1-7. Amer. Math. Soc., Providence RI, 1993.
 [Abstract]

Ll. Alsedà, J. Llibre
Periods for triangular maps.
Bull. Austral. Math. Soc., 47(1). 41-53, 1993.
 [Abstract]

Ll. Alsedà, J. Llibre, M. Misiurewicz
Combinatorial dynamics and entropy in dimension one.
World Scientific Publishing Co. Inc., River Edge NJ, 1993.
 [Abstract]

J. Casasayas, J. Llibre, A. Nunes
Lefschetz zeta functions and forced set of periods.
In Nielsen theory and dynamical systems (South Hadley, MA, 1992), 23-32. Amer. Math. Soc., Providence RI, 1993.
 [Abstract]

J. Delgado, E. Lacomba, J. Llibre, E. Pérez-Chavela
Poincaré compactification of the collinear three-body problem.
In Hamiltonian systems and celestial mechanics (Guanajuato, 1991), 85-100. World Sci. Publishing, River Edge NJ, 1993.
 [Abstract]

J. Gambaudo, J. Llibre
A note on the periods of surface homeomorphisms.
J. Math. Anal. Appl., 177(2). 627-632, 1993.
 [Abstract]

E. Lacomba, J. Llibre, editors.
Hamiltonian systems and celestial mechanics.
World Scientific Publishing Co. Inc., River Edge NJ, 1993. Proceedings of the International Symposium held in Guanajuato, September 30-October 4, 1991.
 [Abstract]

J. Llibre
A note on the set of periods for Klein bottle maps.
Pacific J. Math., 157(1). 87-93, 1993.
 [Abstract]

J. Llibre
Bounded polynomial vector fields. II.
In Dynamical systems (Tianjin, 1990/1991), 126-136. World Sci. Publishing, River Edge NJ, 1993.

J. Llibre
Lefschetz numbers for periodic points.
In Nielsen theory and dynamical systems (South Hadley, MA, 1992), 215-227. Amer. Math. Soc., Providence RI, 1993.
 [Abstract]

J. Llibre
Periodic orbits of periodic differential systems.
In International Conference on Differential Equations (Barcelona, 1991), 177-184. World Sci. Publishing, River Edge NJ, 1993.
 [Abstract]

J. Llibre, M. Misiurewicz
Horseshoes, entropy and periods for graph maps.
Topology, 32(3). 649-664, 1993.
 [Abstract]

J. Llibre, J. Soler
Global flow of the rotating Kepler problem.
In Hamiltonian systems and celestial mechanics (Guanajuato, 1991), 125-140. World Sci. Publishing, River Edge NJ, 1993.
 [Abstract]

J. Llibre, R. Swanson
Periodic points for transversal maps on surfaces.
Houston J. Math., 19(3). 395-403, 1993.
 [Abstract]

C. Alsina, J. Llibre, C. Mira, C. Simó, G. Targonski, R. Thibault, editors.
European Conference on Iteration Theory.
World Scientific Publishing Co. Inc., Singapore, 1992. Proceedings of the conference (ECIT '91) held in Lisbon, Portugal, September 15-21, 1991.

J. Casasayas, J. Llibre, A. Nunes
Algebraic properties of the Lefschetz zeta function, periodic points and topological entropy.
Publ. Mat., 36(2A). 467-472 (1993), 1992.
 [Abstract]

J. Casasayas, J. Llibre, A. Nunes
Lefschetz zeta function and topological entropy.
In European Conference on Iteration Theory (Lisbon, 1991), 56-58. World Sci. Publishing, Teaneck NJ, 1992.
 [Abstract]

J. Casasayas, J. Llibre, A. Nunes
Periods for transversal maps of spheres.
In European Conference on Iteration Theory (Lisbon, 1991), 52-55. World Sci. Publishing, Teaneck NJ, 1992.
 [Abstract]

E. Lacomba, J. Llibre
Integrals, invariant manifolds, and degeneracy for central force problems in $R^n$.
J. Math. Phys., 33(6). 2138-2147, 1992.
 [Abstract]

J. Llibre
Periods for Klein bottle maps.
In European Conference on Iteration Theory (Lisbon, 1991), 166-167. World Sci. Publishing, Teaneck NJ, 1992.
 [Abstract]

J. Llibre, R. MacKay
Pseudo-Anosov homeomorphisms on a sphere with four punctures have all periods.
Math. Proc. Cambridge Philos. Soc., 112(3). 539-549, 1992.
 [Abstract]

J. Llibre, J. Paraños, J. Rodríguez
Periods for Klein bottle maps.
In European Conference on Iteration Theory (Lisbon, 1991), 352-354. World Sci. Publishing, Teaneck NJ, 1992.
 [Abstract]

J. Franks, J. Llibre
Periods of surface homeomorphisms.
In Continuum theory and dynamical systems (Arcata, CA, 1989), 63-77. Amer. Math. Soc., Providence RI, 1991.
 [Abstract]

A. Gasull, J. Llibre, J. Sotomayor
Global asymptotic stability of differential equations in the plane.
J. Differential Equations, 91(2). 327-335, 1991.
 [Abstract]

J. Guaschi, J. Llibre, R. MacKay
A classification of braid types for periodic orbits of diffeomorphisms of surfaces of genus one with topological entropy zero.
Publ. Mat., 35(2). 543-558, 1991.
 [Abstract]

E. Lacomba, J. Llibre, A. Nunes
Invariant tori and cylinders for a class of perturbed Hamiltonian systems.
In The geometry of Hamiltonian systems (Berkeley, CA, 1989), 373-385. Springer, New York, 1991.
 [Abstract]

J. Llibre
Bounded polynomial vector fields. II.
In XII CEDYA/II Congress on Applied Mathematics (Oviedo, 1991), 49-59. Univ. Oviedo, Oviedo, 1991.

J. Llibre
On the number of central configurations in the $n$-body problem.
Celestial Mech. Dynam. Astronom., 50(1). 89-96, 1991.
 [Abstract]

J. Llibre
Periodic points of one-dimensional maps.
In European Conference on Iteration Theory (Batschuns, 1989), 194-198. World Sci. Publishing, River Edge NJ, 1991.
 [Abstract]

J. Llibre, R. MacKay
Rotation vectors and entropy for homeomorphisms of the torus isotopic to the identity.
Ergodic Theory Dynam. Systems, 11(1). 115-128, 1991.
 [Abstract]

J. Llibre, P. Mumbrú
Extending the ^*-product operator.
In European Conference on Iteration Theory (Batschuns, 1989), 199-214. World Sci. Publishing, River Edge NJ, 1991.
 [Abstract]

J. Llibre, P. Mumbrú
On sizes and shapes of lattice figures.
Internat. J. Math. Ed. Sci. Tech., 22(3). 365-386, 1991.
 [Abstract]

A. Nunes, J. Casasayas, J. Llibre
A perturbation of the relativistic Kepler problem.
In Predictability, stability, and chaos in $n$-body dynamical systems (Cortina d'Ampezzo, 1990), 547-554. Plenum, New York, 1991.

C. Alsina, J. Llibre
On the length, area and volume of lattice figures.
Rad. Mat., 6(1). 177-180, 1990.
 [Abstract]

A. Cima, J. Llibre
Algebraic and topological classification of the homogeneous cubic vector fields in the plane.
J. Math. Anal. Appl., 147(2). 420-448, 1990.
 [Abstract]

A. Cima, J. Llibre
Bounded polynomial vector fields.
Trans. Amer. Math. Soc., 318(2). 557-579, 1990.
 [Abstract]

B. Coll, J. Llibre
Limit cycles for a quadratic system with an invariant straight line and some evolution of phase portraits.
In Qualitative theory of differential equations (Szeged, 1988), 111-123. North-Holland, Amsterdam, 1990.
 [Abstract]

A. Gasull, J. Llibre
Limit cycles for a class of Abel equations.
SIAM J. Math. Anal., 21(5). 1235-1244, 1990.
 [Abstract]

J. Llibre, R. MacKay
A classification of braid types for diffeomorphisms of surfaces of genus zero with topological entropy zero.
J. London Math. Soc. (2), 42(3). 562-576, 1990.
 [Abstract]

J. Llibre, C. Piñol
On the elliptic restricted three-body problem.
Celestial Mech. Dynam. Astronom., 48(4). 319-345, 1990.
 [Abstract]

Ll. Alsedà, J. Llibre
Kneading theory of Lorenz maps.
In Dynamical systems and ergodic theory (Warsaw, 1986), 83-89. PWN, Warsaw, 1989.
 [Abstract]

Ll. Alsedà, J. Llibre, F. Mañosas, M. Misiurewicz
Topological entropy for circle maps of degree one.
In European Conference on Iteration Theory (Caldes de Malavella, 1987), 382-391. World Sci. Publishing, Teaneck NJ, 1989.
 [Abstract]

Ll. Alsedà, J. Llibre, M. Misiurewicz
Periodic orbits of maps of $Y$.
Trans. Amer. Math. Soc., 313(2). 475-538, 1989.
 [Abstract]

Ll. Alsedà, J. Llibre, M. Misiurewicz, C. Tresser
Periods and entropy for Lorenz-like maps.
Ann. Inst. Fourier (Grenoble), 39(4). 929-952, 1989.
 [Abstract]

C. Alsina, J. Llibre, C. Mira, C. Simó, G. Targonski, R. Thibault, editors.
European Conference on Iteration Theory, (ECIT '87).
World Scientific Publishing Co. Inc., Teaneck NJ, 1989. Proceedings of the conference held in Caldes de Malavella, September 20-26, 1987.
 [Abstract]

M. Carbonell, J. Llibre
Chordal cubic systems.
Publ. Mat., 33(2). 253-311, 1989.
 [Abstract]

M. Carbonell, J. Llibre
Hopf bifurcation, averaging methods and Liapunov quantities for polynomial systems with homogeneous nonlinearities.
In European Conference on Iteration Theory (Caldes de Malavella, 1987), 145-160. World Sci. Publishing, Teaneck NJ, 1989.
 [Abstract]

M. Carbonell, J. Llibre
Limit cycles of polynomial systems with homogeneous nonlinearities.
J. Math. Anal. Appl., 142(2). 573-590, 1989.
 [Abstract]

F. Cedó, J. Llibre
Symmetric central configurations of the spatial $n$-body problem.
J. Geom. Phys., 6(3). 367-394, 1989.
 [Abstract]

A. Cima, J. Llibre
Configurations of fans and nests of limit cycles for polynomial vector fields in the plane.
J. Differential Equations, 82(1). 71-97, 1989.
 [Abstract]

A. Cima, J. Llibre
On the configurations of limit cycles for polynomial vector fields in the plane.
In European Conference on Iteration Theory (Caldes de Malavella, 1987), 416-420. World Sci. Publishing, Teaneck NJ, 1989.
 [Abstract]

B. Coll, A. Gasull, J. Llibre
Uniqueness of limit cycles for a class of Liénard systems with applications.
J. Math. Anal. Appl., 141(2). 442-450, 1989.
 [Abstract]

J. Llibre, P. Mumbrú
Renormalisation and periodic structure for bimodal maps.
In European Conference on Iteration Theory (Caldes de Malavella, 1987), 253-262. World Sci. Publishing, Teaneck NJ, 1989.
 [Abstract]

J. Llibre, C. Piñol
Transversal ejection-collision orbits for the restricted three-body problem.
In European Conference on Iteration Theory (Caldes de Malavella, 1987), 263-270. World Sci. Publishing, Teaneck NJ, 1989.
 [Abstract]

Ll. Alsedà, J. Llibre, F. Mañosas, M. Misiurewicz
Lower bounds of the topological entropy for continuous maps of the circle of degree one.
Nonlinearity, 1(3). 463-479, 1988.
 [Abstract]

M. Carbonell, J. Llibre
Limit cycles of a class of polynomial systems.
Proc. Roy. Soc. Edinburgh Sect. A, 109(01/02/09). 187-199, 1988.
 [Abstract]

A. Chenciner, J. Llibre
A note on the existence of invariant punctured tori in the planar circular restricted three-body problem.
Ergodic Theory Dynamical Systems, 8^*, 63-72, 1988.
 [Abstract]

B. Coll, A. Gasull, J. Llibre
Quadratic systems with a unique finite rest point.
Publ. Mat., 32(2). 199-259, 1988.
 [Abstract]

A. Gasull, J. Llibre
On the nonsingular quadratic differential equations in the plane.
Proc. Amer. Math. Soc., 104(3). 793-794, 1988.
 [Abstract]

G. Gómez, J. Llibre, J. Masdemont
Homoclinic and heteroclinic solutions in the restricted three-body problem.
Celestial Mech., 44(3). 239-259, 1988.
 [Abstract]

E. Lacomba, J. Llibre
Transversal ejection-collision orbits for the restricted problem and the Hill's problem with applications.
J. Differential Equations, 74(1). 69-85, 1988.
 [Abstract]

M. Carbonell, J. Llibre
Existence and unicity of limit cycles for a class of polynomial differential equations on the plane.
In IX CEDYA (Valladolid, 1986), 117-121. Univ. Valladolid, Valladolid, 1987.
 [Abstract]

A. Chenciner, A. Gasull, J. Llibre
Une description complète du portrait de phase d'un modèle d'élimination résonante.
C. R. Acad. Sci. Paris Sér. I Math., 305(13). 623-626, 1987.
 [Abstract]

A. Cima, J. Llibre
A Global theorem about the indices of the singularities of a polynomial field on the plane.
In IX CEDYA (Valladolid, 1986), 259-261. Univ. Valladolid, Valladolid, 1987.
 [Abstract]

B. Coll, A. Gasull, J. Llibre
Some theorems on the existence, uniqueness, and nonexistence of limit cycles for quadratic systems.
J. Differential Equations, 67(3). 372-399, 1987.
 [Abstract]

B. Coll, J. Llibre
Singularities on the real plane of an analytic system of order two.
In IX CEDYA (Valladolid, 1986), 135-139. Univ. Valladolid, Valladolid, 1987.
 [Abstract]

W. Flury, G. Gómez, J. Llibre, R. Martínez, J. Rodríguez-Canabal, C. Simó, editors.
Relative motion near the triangular libration points in the Earth-Moon system.
1987.

A. Gasull, J. Llibre, J. Sotomayor
Further considerations on the number of limit cycles of vector fields of the form $X(v)=Av+f(v)Bv$.
J. Differential Equations, 68(1). 36-40, 1987.
 [Abstract]

A. Gasull, J. Llibre, J. Sotomayor
Limit cycles of vector fields of the form $X(v)=Av+f(v)Bv$.
J. Differential Equations, 67(1). 90-110, 1987.
 [Abstract]

G. Gómez, J. Llibre, R. Martínez, J. Rodríguez-Canabal, C. Simó
On the optimal station keeping control on Halo orbits.
Acta Astronautica, 15, 391-397, 1987.
 [Abstract]

G. Gómez, J. Llibre, R. Martínez, J. Rodríguez-Canabal, C. Simó
On/Off control of a spacecraft near an unstable Halo orbit.
J. of European Space Agency, 1987.

J. Llibre
Structure of the set of periods for the Lorenz map.
In Dynamical systems and bifurcation theory (Rio de Janeiro, 1985), 277-293. Longman Sci. Tech., Harlow, 1987.
 [Abstract]

J. Llibre, C. Piñol
A gravitational approach to the Titius-Bode law.
The Astronomical J., 93, 1272-1279, 1987.
 [Abstract]

C. Piñol, J. Llibre
About the existence of periodic orbits in a restricted 4-body problem. Aplication to the Titius-Bode law.
In IX CEDYA (Valladolid, 1986), 325-329. Univ. Valladolid, Valladolid, 1987.
 [Abstract]

Ll. Alsedà, J. Llibre
Kneading theory of Lorentz maps.
In IX CEDYA (Valladolid, 1986), 45-48. 1986.
 [Abstract]

A. Gasull, L. Sheng, J. Llibre
Chordal quadratic systems.
Rocky Mountain J. Math., 16(4). 751-782, 1986.
 [Abstract]

G. Gómez, J. Llibre, R. Martínez, C. Simó
Station keeping of a quasi-periodic halo orbit using invariant manifolds.
Spacecraft Flight Dynamics, ESA SP, 255, 65-70, 1986.

Ll. Alsedà, J. Llibre
A note on the set of periods for continuous maps of the circle which have degree one.
Proc. Amer. Math. Soc., 93(1). 133-138, 1985.
 [Abstract]

Ll. Alsedà, J. Llibre
Orbites périodiques minimales des applications continues du cercle dans lui-même ayant un point fixe.
C. R. Acad. Sci. Paris Sér. I Math., 301(11). 601-604, 1985.
 [Abstract]

Ll. Alsedà, J. Llibre, M. Misiurewicz, C. Simó
Twist periodic orbits and topological entropy for continuous maps of the circle of degree one which have a fixed point.
In VII CEDYA (Granada, 1984), 1-6. Univ. Granada, Granada, 1985.
 [Abstract]

Ll. Alsedà, J. Llibre, M. Misiurewicz, C. Simó
Twist periodic orbits and topological entropy for continuous maps of the circle of degree one which have a fixed point.
Ergodic Theory Dynam. Systems, 5(4). 501-517, 1985.
 [Abstract]

A. Cima, J. Llibre
Homogeneous cubic systems in the plane.
In VII CEDYA (Granada, 1984), 97-103. Univ. Granada, Granada, 1985.
 [Abstract]

B. Coll, A. Gasull, J. Llibre
On quadratic systems with a unique finite singularity.
In VII CEDYA (Granada, 1984), 111-117. Univ. Granada, Granada, 1985.
 [Abstract]

A. Gasull, L. Sheng, J. Llibre
Chordal quadratic systems.
In VII CEDYA (Granada, 1984), 169-174. Univ. Granada, Granada, 1985.
 [Abstract]

J. Llibre
La integrabilitat de les equacions de la mecànica.
Butl. Sec. Mat. Soc. Cat. Ciènc. Fís. Quím. Mat. (2), 18(1). 43-50, 1985.
 [Abstract]

J. Llibre
The integrability of the equations of mechanics.
Butl. Sec. Mat., 18, 43-50, 1985.
 [Abstract]

J. Llibre, J. Martinez Alfaro
Ejection and collision orbits of the spatial restricted three-body problem.
Celestial Mech., 35(2). 113-128, 1985.
 [Abstract]

J. Llibre, R. Martínez, C. Simó
Tranversality of the invariant manifolds associated to the Lyapunov family of periodic orbits near $L$₂ in the restricted three-body problem.
J. Differential Equations, 58(1). 104-156, 1985.
 [Abstract]

C. Piñol, J. Llibre
Collision and ejection orbits in the elliptic spatial restricted three-body problem.
In VII CEDYA (Granada, 1984), 335-340. Univ. Granada, Granada, 1985.

Ll. Alsedà, J. Llibre
Minimal periodic orbits for continuous maps of the circle having a fixed point.
In 1-50. Universitat Autònoma de Barcelona, 1984.
 [Abstract]

Ll. Alsedà, J. Llibre, R. Serra
Minimal periodic orbits for continuous maps of the interval.
Trans. Amer. Math. Soc., 286(2). 595-627, 1984.
 [Abstract]

J. Casasayas, J. Llibre
Classes of motion in the anisotropic Kepler problem.
In V CEDYA (Puerto de la Cruz, 1982), 459-468. Univ. La Laguna, La Laguna, 1984.

J. Casasayas, J. Llibre
Qualitative analysis of the anisotropic Kepler problem.
Mem. Amer. Math. Soc., 52(312). viii+115, 1984.

J. Llibre
Celestial mechanics in the works of Poincaré.
In The development of mathematics in the nineteenth century, 91-105. Inst. Estudis Cat., Barcelona, 1984.
 [Abstract]

J. Llibre
On the extendable regular integrals of the $n$-body problem.
J. Differential Equations, 54(2). 221-230, 1984.

J. Llibre
Periods of continuous mappings of the interval and the circle.
Butl. Sec. Mat., 17, 47-51, 1984.
 [Abstract]

J. Llibre
Períodes de les aplicacions contínues de l'interval i del cercle.
Butl. Sec. Mat. Soc. Cat. Ciènc. Fís. Quím. Mat. (2), 17(1). 47-51, 1984.
 [Abstract]

Ll. Alsedà, J. Llibre, R. Serra
Minimal periodic orbits for continous maps of the interval.
In VI CEDYA (Jaca, 1983), 176-181. 1983.
 [Abstract]

J. Casasayas, J. Llibre
Symmetric periodic orbits in the anisotropic Kepler problem.
In Dynamical trapping and evolution in the solar system, 263-270. Reidel, 1983.

G. Gómez, J. Llibre
Capture/escape boundary orbits in the collinear restricted three body problem.
In Dynamical trapping and evolution in the solar system, 325-338. Reidel, 1983.

M. Grau, J. Llibre, R. Ros
On the periodic orbits of the Contopoulos Hamiltonian.
Lecture Notes in Physics, 179, 284-286, 1983.

J. Llibre
A note on the energy levels of Hamiltonian systems of two degrees of freedom.
In Proc. of VI CEDYA, 403-408. Jaca, 1983.

J. Llibre
El problema 16 de Hilbert: els sistemes quadràtics (Secció Problemes i Jocs).
Butl. Sec. Mat. Soc. Cat. Ciènc. Fís. Quím. Mat. (2), 15(1). 54-57, 1983.
 [Abstract]

J. Llibre
Problemes i Jocs.
Butl. Sec. Mat. Soc. Cat. Ciènc. Fís. Quím. Mat. (2), 13(1). 14-17, 1983.
 [Abstract]

J. Llibre, J. Alfaro
Órbitas de colisión en el problema restringido espacial de tres cuerpos.
In Proc. of VI CEDYA, 421-424. Jaca, 1983.

Ll. Alsedà, J. Llibre
Minimal periodic orbits.
In IV CEDYA (Sevilla, 1981), 59-68. Univ. Sevilla, Sevilla, 1982.
 [Abstract]

Ll. Alsedà, J. Llibre, R. Serra
Bifurcations for a circle map family associated with the van der Pol equation.
In Iteration theory and its applications (Toulouse, 1982), 177-186. CNRS, Paris, 1982.
 [Abstract]

J. Casasayas, J. Llibre
Invariant manifolds associated to homothetic orbits in the $n$-body problem.
Indiana Univ. Math. J., 31(4). 463-470, 1982.
 [Abstract]

J. Llibre
On the restricted three-body problem when the mass parameter is small.
Celestial Mech., 28(01/02/09). 83-105, 1982.
 [Abstract]

J. Llibre, A. Reventós
On the structure of the set of periodic points of a continuous map of the interval with finitely many periodic points.
Arch. Math. (Basel), 39(4). 331-334, 1982.
 [Abstract]

J. Llibre, A. Reventós
Sur le nombre d'orbites périodiques d'une application continue du cercle en lui-même.
C. R. Acad. Sci. Paris Sér. I Math., 294(1). 51-54, 1982.
 [Abstract]

Ll. Alsedà, J. Llibre
Òrbitas minimales periódicas.
In Proc. of IV CEDYA, 59-68. Sevilla, 1981.

G. Gómez, J. Llibre
A note on a conjecture of Poincaré.
Celestial Mech., 24(4). 335-343, 1981.
 [Abstract]

J. Llibre
Continuous maps of the circle with finitely many periodic points.
Publ. Sec. Mat. Univ. Autònoma Barcelona, 25, 107-130, 1981.
 [Abstract]

J. Llibre
El problema dels set sets.
Butl. Sec. Mat. Soc. Cat. Ciènc. Fís. Quím. Mat. (2), 7(1). 23-26, 1981.
 [Abstract]

J. Llibre
Minimal periodic orbits of continuous mappings of the circle.
Proc. Amer. Math. Soc., 83(3). 625-628, 1981.
 [Abstract]

J. Llibre
Sistemas Hamiltonianos con dos grados de libertad.
In Proc. of IV CEDYA, 25-57. Sevilla, 1981.

J. Llibre
Sufficient conditions for a continuous map of $R^n$ into itself to have $m$-periodic points for all $m>0$.
In Nonlinear problems of analysis in geometry and mechanics (Toulouse, 1979), 143-149. Pitman, Boston MA, 1981.

J. Llibre
Sur la stabilité des orbites périodiques d'une application continue du cercle en lui-même avec un nombre fini de points périodiques.
C. R. Acad. Sci. Paris Sér. I Math., 293(6). 335-338, 1981.
 [Abstract]

J. Llibre, A. Reventós
On the number of fixed points for a continuous map of a finite connected graph.
Collect. Math., 32(3). 203-219, 1981.
 [Abstract]

J. Llibre, A. Reventós
On the number of periodic orbits of continuous mappings of the interval.
Publ. Sec. Mat. Univ. Autònoma Barcelona, 25, 97-106, 1981.
 [Abstract]

J. Llibre, C. Simó
A note on a conjecture of Smale.
Indiana Univ. Math. J., 30(1). 103-111, 1981.
 [Abstract]

C. Simó, J. Llibre
Characterization of transversal homothetic solutions in the $n$-body problem.
Arch. Rational Mech. Anal., 77(2). 189-198, 1981.
 [Abstract]

J. Llibre
On homographic solutions of the $n$-body problem.
Publ. Sec. Mat. Univ. Autònoma Barcelona, 22, 45-47, 1980.
 [Abstract]

J. Llibre
Problemes i jocs.
Butl. Sec. Mat. Soc. Cat. Ciènc. Fís. Quím. Mat. (2), 5(1). 5pp, 1980.
 [Abstract]

J. Llibre, A. Reventós
On the number of fixed points for a mapping of a finite connected graph.
Publ. Sec. Mat. Univ. Autònoma Barcelona, 21, 103-106, 1980.
 [Abstract]

J. Llibre, C. Simó
On the Hénon-Heiles potential.
In Proc. of III Congreso de Ecuaciones Diferenciales y Aplicaciones (CEDYA), 183-206. Santiago, 1980.

J. Llibre, C. Simó
Oscillatory solutions in the planar restricted three-body problem.
Math. Ann., 248(2). 153-184, 1980.
 [Abstract]

J. Llibre, C. Simó
Qualitative study of the Sitnikov problem.
Publ. Sec. Mat. Univ. Autònoma Barcelona, 18, 49-71, 1980.
 [Abstract]

J. Llibre, C. Simó
Some homoclinic phenomena in the three-body problem.
J. Differential Equations, 37(3). 444-465, 1980.
 [Abstract]

J. Llibre
Els nombres perfectes.
Butl. Sec. Mat. Soc. Cat. Ciènc. Fís. Quím. Mat. (2), 1(1). 17-18, 1979.
 [Abstract]

J. Llibre
Evoluciones finales y movimientos quasi-aleatorios en el problema restringido de 3 cuerpos.
Publ. Sec. Mat. Univ. Autònoma Barcelona, 15, 1-124, 1979.
 [Abstract]

J. Llibre
La simetria.
Butl. Sec. Mat. Soc. Cat. Ciènc. Fís. Quím. Mat. (2), 2(1). 18-22, 1979.
 [Abstract]

J. Llibre
Problemes i Jocs.
Butl. Sec. Mat. Soc. Cat. Ciènc. Fís. Quím. Mat. (2), 1, 12, 1978.
 [Abstract]

J. Llibre
El tangram de los ocho elementos.
Barral Editores, Barcelona, 1977.

J. Llibre
Posiciones de equilibrio relativo del problema de 4 cuerpos.
Publ. Sec. Mat. Univ. Autònoma Barcelona, 3, 73-88, 1976.
 [Abstract]

G. Gómez, J. Llibre, C. Simó
Excitación resonante de un péndulo.
Primera Asamblea de Astronomía y Astrofísica, 19-25, 1975.

J. Llibre, C. Simó
Topología del problema de 3 cuerpos: caso plano y caso restringido.
Primera Asamblea de Astronomía y Astrofísica, 199-210, 1975.

J. Llibre, C. Simó
Variedades integrales del problema de los $n$ cuerpos.
Primera Asamblea de Astronomía y Astrofísica, 219-227, 1975.