New Publications:

A. Cima, A. Gasull, V. Mañosa.   NEW 2017-09-04
Bifurcation of 2-periodic orbits from non-hyperbolic fixed points.
To appear in J. Math. Anal. Appl.
 [Preprint] [Abstract]

J. Llibre, C. Valls.   NEW 2017-09-04
Global qualitative dynamics of the brusselator system.
Preprint. September, 2017.
 [Abstract]

J. Huang, H. Liang, J. Llibre.   NEW 2017-09-04
Non-existence and uniqueness of limit cycles for planar polynomial differential systems with homogeneous nonlinearities.
Preprint. September, 2017.
 [Abstract]

A. C. Fernandes, B. A. Garcia, J. Llibre, L. F. Mello.   NEW 2017-08-08
New central configurations of the $(n+1)$-body problem.
Preprint. August, 2017.
 [Abstract]

J. Llibre, A. Murza.   NEW 2017-07-30
Polynomial vector fields on the Clifford torus.
Preprint. July, 2017.
 [Abstract]

A. Ferragut, C. Valls, C. Wiuf.   NEW 2017-07-28
On Darboux integrability of Edelstein's reaction system in $\mathbb R^3$.
Preprint. July, 2017.
 [Preprint] [Abstract]

L. P. C. Cruz, J. Torregrosa.   NEW 2017-07-27
Simultaneous bifurcation of limit cycles from a cubic piecewise center with two period annuli.
Preprint. July, 2017.
 [Preprint] [Abstract]

C. A. Buzzi, M. F. S. Lima, J. Torregrosa.   NEW 2017-07-27
Limit cycles via higher order perturbations for some piecewise differential systems.
Preprint. July, 2017.
 [Preprint] [Abstract]

E. I. Abouelmagd, J. L. G. Guirao, J. Llibre.   NEW 2017-07-27
Periodic orbits for the perturbed planar circular restricted $3$-body problem.
Preprint. July, 2017.
 [Abstract]

J. Llibre, R. O. Ramírez, V. Ramírez.   NEW 2017-07-26
Center problem for generalized $\lambda$-$\Omega$ differential systems.
Preprint. July, 2017.
 [Abstract]

J. Llibre, Y. Tian.   NEW 2017-07-26
Algebraic limit cycles bifurcating from algebraic ovals of quadratic centers.
Preprint. July, 2017.
 [Abstract]

J. Itikawa, J. Llibre.   NEW 2017-07-26
New classes of polynomial maps satisfying the real Jacobian conjecture in $\mathbb R^2$.
Preprint. July, 2017.
 [Abstract]

J. Llibre, E. Ponce, C. Valls.   NEW 2017-07-26
Two limit cycles in Liénard piecewise linear differential systems.
Preprint. July, 2017.
 [Abstract]

R. A. T. Santos.   NEW 2017-07-16
Regularização de singularidades de sistemas descontínuos e retratos de fase de sistemas de Lokta-Volterra tridimencionais.
PhD thesis, Universidade Estadual Paulista (UNESP), 2017.

J. Llibre, C. Valls.   NEW 2017-07-11
Proper rational and analytic first integrals for asymmetric 3-dimensional Lotka-Volterra systems.
J. Nonlinear Math. Phys., 24(3), 393-404, 2017. [DOI]
 [Abstract]

T. Britton, D. Juher, J. Saldaña.   NEW 2017-07-04
Erratum to: a network epidemic model with preventive rewiring: comparative analysis of the initial phase.
Bull. Math. Biol., 79, 1687-1689, 2017. [DOI]
 [Preprint] [Abstract]

J. Itikawa, J. Llibre.   NEW 2017-06-19
New families of planar Hamiltonian systems having global centers.
Preprint. June, 2017.
 [Abstract]

C. J. Christopher, J. Llibre, C. Pantazi, S. Walcher.   NEW 2017-06-19
On planar polynomial vector fields with elementary first integrals.
Preprint. June, 2017.
 [Abstract]

J. Llibre, L. d. A. S. Menezes.   NEW 2017-06-16
The Markus–Yamabe conjecture does not hold for piecewise discontinuous linear differential systems separated by one straight line.
Preprint. June, 2017.
 [Abstract]

P. B. Acosta-Humánez, J. T. Lázaro, J. J. Morales-Ruiz, C. Pantazi.   NEW 2017-06-15
On the integrability of polynomial vector fields in the plane by means of Picard-Vessiot theory.
Discrete Contin. Dyn. Syst., 35(5), 1767-1800, 2015. [DOI]
 [Preprint] [Abstract]

A. Farrés, À. Jorba, J. M. Mondelo.   NEW 2017-06-13
Numerical study of the geometry of the phase space of the augmented Hill three-body problem.
Celestial Mech. Dynam. Astronom., 2017. [DOI]
 [Preprint] [Abstract]

E. Barrabés, G. Gómez, J. M. Mondelo, M. Ollé.   NEW 2017-06-13
Pseudo-heteroclinic connections between bicircular restricted four-body problems.
Mon. Not. R. Astron. Soc., 462, 740-750, 2016. [DOI]
 [Preprint] [Abstract]

J. Llibre, C. Valls.   NEW 2017-06-11
Algebraic limit cycles on quadratic polynomial differential systems.
To appear in Proc. Edinb. Math. Soc. (2).
 [Abstract]

J. Llibre, C. Valls.   NEW 2017-06-11
On the uniqueness of algebraic limit cycles for quadratic polynomial differential systems with two pairs of equilibrium points at infinity.
To appear in Geom. Dedicata.
 [Abstract]

A. Ferragut, C. Valls.   NEW 2017-06-11
Phase portraits of Abel quadratic differential systems of second kind.
To appear in Dyn. Syst.
 [Preprint] [Abstract]

J. Llibre, C. Valls.   NEW 2017-06-11
Darboux polynomials, balances and Painlevé property.
Preprint. June, 2017.
 [Abstract]

G. Tigan, J. Llibre, L. Ciurdariu.   NEW 2017-06-11
Degenerate fold–Hopf bifurcations in a Rössler-Type system.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 27(5), 1750068, 2017. [DOI]
 [Abstract]

M. Álvarez-Ramírez, J. D. García Saldaña.   NEW 2017-06-11
On the homoclinic orbits of the Lü system.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 27(5), 1750070, 2017. [DOI]
 [Preprint] [Abstract]

E. Barrabés, J. M. Cors, L. Garcia-Taberner, M. Ollé.   NEW 2017-06-11
Tails and bridges in the parabolic restricted three-body problem.
Preprint. June, 2017.
 [Preprint] [Abstract]

E. Barrabés, J. M. Cors, C. Vidal.   NEW 2017-06-11
Spatial collinear restricted 4-body problem with repulsive Manev potential.
Celestial Mech. Dynam. Astronom., 1-24, 2017. [DOI]
 [Preprint] [Abstract]

M. Álvarez-Ramírez, M. Corbera, J. M. Cors, A. García.   NEW 2017-06-11
A note on the differentiability of a family of non-gravitational central force continuous potentials in dimension one.
To appear in Appl. Math. Lett.
 [Preprint] [Abstract]

A. Cima, A. Gasull, F. Mañosas.   NEW 2017-06-11
On the number of polynomial solutions of Bernoulli and Abel polynomial differential equations.
To appear in J. Differential Equations.
 [Preprint] [Abstract]