New Publications:

J. Llibre, C. Valls.   NEW 2021-01-18
Phase portraits of the complex Abel polynomial differential systems.
Preprint. January, 2021.
 [Abstract]

C. Cufí-Cabré, J. Llibre.   NEW 2021-01-14
Periods of the Morse-Smale diffeomorphisms on $S^n$ and $S^m \times S^n$ and $HP^n$.
Preprint. January, 2021.
 [Abstract]

J. Llibre, C. Valls.   NEW 2021-01-13
Periodic orbits for a generalized Hénon-Heiles Hamiltonian system with an additional singular gravitational term.
Preprint. January, 2021.
 [Abstract]

A. Gasull, H. Giacomini.   NEW 2021-01-13
Effectiveness of the Bendixon-Dulac theorem.
Preprint. January, 2021.
 [Preprint] [Abstract]

M. Ollé, Ò. Rodríguez, J. Soler.   NEW 2021-01-13
Transit regions and ejection/collision orbits in the RTBP.
Commun. Nonlinear Sci. Numer. Simul., 94, 105550, 2021. [DOI]
 [Preprint] [Abstract]

D. Marín, J. Villadelprat.   NEW 2020-12-23
Asymptotic expansion of the Dulac map and time for unfoldings of hyperbolic saddles: coefficient properties.
Preprint. December, 2020.
 [Preprint] [Abstract]

P. Yuan, J. Llibre.   NEW 2020-12-22
Tangential trapezoid central configurations.
Regul. Chaotic Dyn., 25(6), 651-661, 2020. [DOI]
 [Preprint] [Abstract]

Q. Zaldo-Aubanell, I. Serra, J. Sardanyés, Ll. Alsedà, R. Maneja.   NEW 2020-12-22
Reviewing the reliability of Land Use and Land Cover Data in studies relating human health to the environment.
To appear in Environmental Research.

J. M. Cors, J. F. Palacián, P. Yanguas.   NEW 2020-12-22
On co-orbital quasi-periodic motion in the three-body problem.
SIAM J. Appl. Dyn. Syst., 18(1), 334-353, 2019. [DOI]
 [Preprint] [Abstract]

M. Corbera, J. M. Cors, G. E. Roberts.   NEW 2020-12-22
Classify four-body convex central configurations.
Celestial Mech. Dynam. Astronom., 131(34), 1-27, 2019. [DOI]
 [Preprint] [Abstract]

Ll. Alsedà, B. Vidiella, R. Solé, J. T. Lázaro, J. Sardanyés.   NEW 2020-12-22
Dynamics in a time-discrete food-chain model with strong pressure on preys.
Commun. Nonlinear Sci. Numer. Simul., 84, 105187:1-26, 2020. [DOI]
 [Abstract]

Ll. Alsedà, S. Borrós.   NEW 2020-12-09
An algorithm to compute rotation numbers in the circle.
Preprint. December, 2020.
 [Preprint] [Abstract]

J. Llibre.   NEW 2020-12-07
Central configurations of the circular restricted 4-body problem with three equal primaries in the collinear central configuration of the 3-body problem.
Preprint. December, 2020.
 [Abstract]

B. Ghermoul, J. Llibre, T. Salhi.   NEW 2020-12-07
Limit cycles of continuous piecewise differential systems formed by linear and quadratic isochronous centers I.
Preprint. December, 2020.
 [Abstract]

C. A. Buzzi, J. Llibre, P. Santana.   NEW 2020-12-07
Phase portraits of (2;1) reversible vector fields of low codimension.
Preprint. December, 2020.
 [Abstract]

A. Gasull.   NEW 2020-12-06
Some open problems in low dimensional dynamical systems.
Preprint. December, 2020.
 [Preprint] [Abstract]

R. Huzak, D. Rojas.   NEW 2020-11-18
Period function of planar turning points.
Preprint. November, 2020.
 [Preprint] [Abstract]

J. Llibre, T. Salhi.   NEW 2020-11-18
Phase portraits of a SIR epidemic model.
Preprint. November, 2020.
 [Abstract]

M. Esteban, J. Llibre, C. Valls.   NEW 2020-11-18
The extended 16-th Hilbert problem for discontinuous piecewise linear centers separated by a non-regular line.
Preprint. 2020.
 [Abstract]

M. Ollé, Ò. Rodríguez, J. Soler.   NEW 2020-11-18
Analytical and numerical results on families of n-ejection-collision orbits in the RTBP.
Commun. Nonlinear Sci. Numer. Simul., 90, 105294, 27 pp., 2020. [DOI]
 [Preprint] [Abstract]

D. A. Paraschiv.   NEW 2020-11-17
A rational family of singular perturbations. the trichotomy theorem.
Masters thesis, Universitat de Barcelona, Barcelona, June, 2017.
 [Full PDF]

C. A. B. Rodrigues.   NEW 2020-11-05
Invariant curves on differential systems defined in $R^n, n\geq 2$.
PhD thesis, Universidade de São Paulo, 2018.
 [Full PDF]

J. Llibre, M. Messias, A. C. Reinol.   NEW 2020-11-05
Zero-Hopf bifurcations in three-dimensional chaotic systems with one stable equilibrium.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 30(12), 2050189, 2020. [DOI]
 [Preprint] [Abstract]

J. J. Jimenez Ruiz.   NEW 2020-11-05
On the crossing limit cycles for piecewise linear differential systems on the plane.
PhD thesis, Universidade Federal de Goiás, Instituto de Matemática e Estatística, October, 2020.
 [Full PDF]

J. Llibre.   NEW 2020-11-05
Limit cycles of planar continuous piecewise differential systems separated by a parabola and formed by an arbitrary linear and quadratic centers.
Preprint. October, 2020.
 [Abstract]

A. Ferragut, A. Gasull, X. Zhang.   NEW 2020-11-05
Meromorphic first integrals of analytic diffeomorphisms.
Preprint. October, 2020.
 [Preprint] [Abstract]

A. Cima, A. Gasull, V. Mañosa, F. Mañosas.   NEW 2020-10-30
Pointwise periodic maps with quantized first integrals.
Preprint. October, 2020.
 [Preprint] [Abstract]

J. Llibre, C. Valls.   NEW 2020-10-30
The Euler-Jacobi formula and the planar quadratic-quartic polynomial differential systems.
Proc. Amer. Math. Soc., 149(1), 135-141, 2021. [DOI]
 [Preprint] [Abstract]

A. Gasull, L. Hernández-Corbato, F. R. Ruiz del Portal.   NEW 2020-10-30
Parrondo's paradox for homeomorphisms.
Preprint. October, 2020.
 [Preprint] [Abstract]

C. Liu, J. Llibre, R. O. Ramírez, V. Ramírez.   NEW 2020-10-30
Solution of the center problem for a class polynomial differential systems.
Preprint. October, 2020.
 [Abstract]

J. Llibre, V. F. Sirvent.   NEW 2020-10-21
Periodic structure of the transversal maps on surfaces.
Preprint. October, 2020.
 [Abstract]

J. Llibre, Y. P. Martinez Mancilla, C. Vidal.   NEW 2020-10-21
Limit cycles of a perturbation of a polynomial Hamiltonian systems of degree 4 symmetric with respect to the origin.
Preprint. October, 2020.
 [Abstract]

O. A. R. Cespedes, J. Llibre.   NEW 2020-10-21
Zero-Hopf bifurcation in a modified van der pol-Duffing oscillator.
Preprint. October, 2020.
 [Abstract]

J. C. Artés, J. Llibre, D. Schlomiuk, N. Vulpe.   NEW 2020-10-21
Abel quadratic differential systems of second kind.
Preprint. October, 2020.
 [Abstract]

C. Cufí-Cabré, E. Fontich.   NEW 2020-10-06
Differentiable invariant manifolds of nilpotent parabolic points.
Preprint. October, 2020.
 [Preprint] [Abstract]