H. Ou, J. Llibre.   NEW 2025-07-11
Quadratic systems with two invariant real straight lines and an invariant ellipse.
Preprint. July, 2025.
Abstract

J. Llibre, H. Zeng.   NEW 2025-07-07
Global phase portraits of a SIS model with importation and removal.
Preprint. July, 2025.
Abstract

Á. Fernández-Mora, À. Haro, J. M. Mondelo.   NEW 2025-06-23
On the convergence of flow map parametrization methods in Hamiltonian systems.
Preprint. June, 2025.
PreprintAbstract

L. Queiroz, J. Llibre.   NEW 2025-06-23
On a class of Hamiltonian Kolmogorov systems.
Preprint. June, 2025.
Abstract

R. F. Appis, J. Llibre.   NEW 2025-06-16
No global centers in a class of cubic systems.
Preprint. June, 2025.
Abstract

J. Llibre, A. C. Rezende, L. P. Serantola.   NEW 2025-06-09
The periodic orbits of some classes of $3$-dimensional relay hybrid systems.
Preprint. June, 2025.
Abstract

J. Llibre, A. C. T. Sánchez, D. J. Tonon.   NEW 2025-06-04
Limit cycles of discontinuous piecewise hybrid rigid systems separated by a straight line.
Preprint. June, 2025.
Abstract

A. Murza, J. Llibre.   NEW 2025-06-01
Polynomial vector fields on the whitney umbrella.
Preprint. June, 2025.
Abstract

C. Cao, H. Chen, J. Llibre.   NEW 2025-06-01
Global dynamics of the Selkov systems.
Preprint. June, 2025.
Abstract

L. P. C. Cruz, R. D. S. Oliveira, J. Torregrosa.   NEW 2025-05-28
Limit cycles in piecewise quadratic Kolmogorov systems.
Preprint. May, 2025.
Abstract

J. Llibre, G. Rondon.   NEW 2025-05-20
The dynamics of the Ehrhard-Müller system with invariant algebraic surfaces.
Preprint. May, 2025.
PreprintAbstract

A. Cima, A. Gasull, F. Mañosas.   NEW 2025-05-13
On the critical points of planar polynomial Hamiltonian systems.
Preprint. May, 2025.
PreprintAbstract

R. D. S. Oliveira, A. L. Rodero, J. Torregrosa.   NEW 2025-05-09
Mixed simultaneous cyclicity for piecewise smooth vector fields defined on an invariant sphere.
Preprint. May, 2025.
Abstract

D. Marín, J. Villadelprat.   NEW 2025-05-09
Derivatives of the separation function of generalized saddle connections.
Preprint. May, 2025.
PreprintAbstract

A. C. Rezende, M. A. S. Santos, J. Torregrosa.   NEW 2025-05-08
The period function of centers at infinity in planar piecewise linear systems.
Preprint. May, 2025.
Abstract

B. Coll, A. Gasull, R. Prohens.   NEW 2025-05-01
The effect of a singularity on transition maps.
Preprint. May, 2025.
PreprintAbstract

M. Domingues, J. Llibre, L. F. Mello.   NEW 2025-04-29
A new sufficient condition in order that the real Jacobian conjecture in $R^2$ holds.
Preprint. April, 2025.
Abstract

B. R. de Freitas, D. Avila, F. Becatti, J. Llibre.   NEW 2025-04-23
Limit cycles of continuous-discontinuous piecewise differential systems formed by two Hamiltonian systems and separated by a non-regular line.
Preprint. April, 2025.
Abstract

X. Hu, B. Huang, J. Llibre, Y. Tang.   NEW 2025-04-21
ZeroHopf and nilpotent zero-Hopf bifurcation of periodic orbits in Hamiltonian systems.
Preprint. April, 2025.
Abstract

J. C. Artés, L. Cairó, J. Llibre.   NEW 2025-04-19
Phase portraits of the families VII and VIII of the quadratic polynomial differential systems.
Preprint. April, 2025.
Abstract