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

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

F. Braun, L. P. C. Cruz, J. Torregrosa.   NEW 2025-04-16
Local and global analysis of the displacement map for some near integrable systems.
Preprint. April, 2025.
Abstract

J. Ginoux, J. Llibre, R. Meucci, J. C. Sprott.   NEW 2025-04-16
Energy function of 2D and 3D coarse systems.
Chaos Solitons Fractals, 199, 116643 (9 pages). 2025. [DOI]
PreprintAbstract

L. Baymout, R. Benterki, J. Llibre.   NEW 2025-04-15
The limit cycles of a class of discontinuous piecewise differential systems.
Int. J. Dyn. Syst. Differ. Equ., 13(4), . 2024. [DOI]
PreprintAbstractPreprint at DDDUAB

B. Grajales, G. Rondon, J. Saavedra.   NEW 2025-04-12
Riemannian geometry of $G_2$-type real flag manifolds.
Preprint. April, 2025.
PreprintAbstract

G. Rondon, P. R. Silva, L. F. d. S. Gouveia.   NEW 2025-04-12
Holomorphic slow-fast systems.
Preprint. April, 2025.
PreprintAbstract

M. Garrido, P. Martín, J. Paradela.   NEW 2025-04-12
Parabolic saddles and Newhouse domains in celestial mechanics.
Preprint. April, 2025.
PreprintAbstract

J. Llibre, Y. P. Martinez-Mancilla, C. Valls.   NEW 2025-04-10
On the dynamics of the Muthuswamy-Chua systems in $\mathbb R^3$.
Chaos, 35, 043121. 2025. [DOI]
Abstract

M. Garrido, P. Martín, J. Paradela.   NEW 2025-04-10
Parabolic saddles and newhouse domains in celestial mechanics.
To appear in Commun. Math. Phys.
PreprintAbstract

J. Llibre, Y. Zhao, S. Li.   NEW 2025-04-07
On the index of an isolated equilibrium point for piecewise polynomial differential systems.
J. Math. Anal. Appl., 551(2), 129651. 2025. [DOI]
Abstract

D. Marín, J. Villadelprat.   NEW 2025-03-30
The cyclicity of hyperbolic hemicycles.
J. Differential Equations, 433, 113281. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, Y. Zhao.   NEW 2025-03-27
Final evolutions for Lotka-Volterra systems in $R^3$ having a Darboux invariant.
Electron. J. Differential Equations, 37, 1-16. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

A. Cima, A. Gasull, V. Mañosa, F. Mañosas.   NEW 2025-03-24
On two families of iterative methods without memory.
Preprint. March, 2025.
PreprintAbstract

J. Llibre, C. Valls.   NEW 2025-03-24
Global asymptotic stability in quadratic systems.
Electron. J. Differential Equations, 36, 1-12. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

M. E. Anacleto, J. Llibre, C. Valls.   NEW 2025-03-20
Global dynamics of the predator-prey Rosenzweig-MacArthur model with Allee effect.
Preprint. March, 2025.
Abstract

J. Llibre, Y. P. Martinez-Mancilla.   NEW 2025-03-20
On the Hamiltonian Hopf bifurcation in the 3D Hénon-Heiles Hamiltonian revised.
Preprint. March, 2025.
Abstract

M. Álvarez-Ramírez, J. D. García Saldaña, J. Llibre.   NEW 2025-03-12
Integrability and periodic orbits of a 3D jerk system with two quadratic nonlinearities.
Preprint. March, 2025.
Abstract