New Publications:

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]
 [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]
 [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]

J. Llibre, C. Valls.   NEW 2020-09-23
Phase portraits of the complex Riccati equation with constant coefficients.
Preprint. September, 2020.
 [Abstract]

J. Llibre, C. Valls.   NEW 2020-09-21
The improved Euler-Jacobi formula and the planar cubic polynomial vector fields in $R^2$.
Preprint. September, 2020.
 [Abstract]

M. R. A. Gouveia, J. Llibre, L. A. Roberto.   NEW 2020-09-21
Phase portraits of a family of Hamiltonian cubic systems.
Preprint. September, 2020.
 [Abstract]

A. Gasull.   NEW 2020-09-21
Polinomios estables.
To appear in Gac. R. Soc. Mat. Esp.
 [Preprint]

C. A. Buzzi, Y. R. Carvalho, A. Gasull.   NEW 2020-08-18
Limit cycles for some families of smooth and non-smooth planar systems.
Preprint. August, 2020.
 [Preprint] [Abstract]

J. Llibre, B. D. Lopes, P. R. Silva.   NEW 2020-08-17
Phase portraits of the Riccati quadratic polynomial differential system.
Preprint. August, 2020.
 [Preprint] [Abstract]

A. A. Rabia, J. Llibre, A. Makhlouf.   NEW 2020-08-11
Periodic solutions for two classes of Duffing differential equations via averaging theory.
Preprint. August, 2020.
 [Abstract]

C. A. Buzzi, Y. R. Carvalho, A. Gasull.   NEW 2020-08-07
The local period function for Hamiltonian systems with applications.
Preprint. August, 2020.
 [Preprint] [Abstract]