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, L. P. Serantola.   NEW 2025-06-06
The easiest polynomial differential systems in ${{R}}^3$ having an invariant cylinder.
Extracta Math., 40(1), 121-141. 2025. [DOI]
AbstractFull PDF

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

J. Llibre, C. Valls.   NEW 2025-06-01
On the dynamics of the Craik-Okamoto and the Euler top.
Phys. D, 476, 134684. 2025. [DOI]
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

A. Gasull, G. Rondon, P. R. Silva.   NEW 2025-05-22
Simultaneous bifurcation of limit cycles for piecewise holomorphic systems.
J. Dyn. Diff. Equat. 2025 (Published online) [DOI]
PreprintAbstract

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

J. Llibre, R. Tian.   NEW 2025-05-02
Phase portraits of cubic polynomial Kolmogorov differential systems having a rational first integral of degree three.
J. Math. Phys., 66, 052702. 2025. [DOI]
Abstract

E. Barrabés, J. M. Cors, A. C. Fernandes, C. Vidal.   NEW 2025-05-02
On nested central configurations of the 3n-body problem.
J. Nonlinear Sci. 2025 (Published online) [DOI]
PreprintAbstract

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

J. Canela, A. Garijo, P. Roesch.   NEW 2025-04-25
Connected McMullen-like Julia sets in a Chebyshev-Halley family.
SIAM J. Appl. Dyn. Syst., 24(2), 1289-1315. 2025. [DOI]
PreprintAbstract

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