J. Llibre, C. A. B. Rodrigues de Lima.
On the limit cycles of piecewise hybrid Hamiltonian linear systems separated by a circle.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 2650128, 8 pages. 2026. [DOI]
PreprintAbstract

J. Llibre, A. C. T. Sánchez, D. J. Tonon.
Limit cycles of discontinuous piecewise hybrid rigid systems separated by a straight line.
Nonlinear Anal. Real World Appl., 91, 104607. 2026. [DOI]
PreprintAbstractPreprint at DDDUAB

A. Murza, J. Llibre.
Polynomial vector fields on the whitney umbrella.
Differ. Equ. Dyn. Syst., . 2026. [DOI]
Preprint

R. D. S. Oliveira, A. L. Rodero, J. Torregrosa.
Mixed simultaneous cyclicity for piecewise smooth vector fields defined on an invariant sphere.
J. Dyn. Diff. Equat., . 2026. [DOI]
PreprintAbstract

A. C. Rezende, M. A. S. Santos, J. Torregrosa.
Period function of planar reversible quadratic systems.
Research in the Mathematical Sciences, 13(25), . 2026. [DOI]
PreprintAbstract

A. C. Rezende, M. A. S. Santos, J. Torregrosa.
The period function of centers at infinity in planar piecewise linear systems.
Bull. Sci. Math., 210, . 2026. [DOI]
PreprintAbstract

M. J. Álvarez, B. Coll, A. Gasull, R. Prohens.
More limit cycles for complex differential equations with three monomials.
J. Differential Equations, 416, 1071–1098. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

M. Álvarez-Ramírez, J. Llibre.
Global phase portrait of a rolling motion of ships equation.
Qual. Theory Dyn. Syst., 24(65), . 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

G. Anacona Erazo, J. Llibre, B. R. de Freitas.
On the limit cycles bifurcating from the periodic orbits of the Hamiltonian system.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 35(4), Paper No. 2550040, 8. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

J. C. Artés, L. Cairó, J. Llibre.
Phase portraits of the family IV of the quadratic polynomial differential systems.
Qual. Theory Dyn. Syst., 24(Article number 66), . 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

J. C. Artés, L. Cairó, J. Llibre.   NEW 2026-03-26
New exploration of phase portrait classification of quadratic polynomial differential systems based on Invariant Theory.
Applied Math., 5(2), Article 68. 2025. [DOI]
AbstractFull PDF

L. Bacelar, J. Llibre.
Reversible nilpotent centers with cubic nonlinearities.
Rend. Circ. Mat. Palermo (2), 74(5), Paper Num 138. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

A. Bakhshalizadeh, J. Llibre, A. C. Rezende.
Global dynamics analysis of a class of quadratic polynomial differential systems with an invariant plane in $R^3$.
NoDEA Nonlinear Differential Equations Appl., 32(77), (40 pages). 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

Y. Bao, S. Li, J. Llibre, Y. Zhao.
On the number of limit cycles for two classes of polynomial differential systems.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 35(6), 2550070 (12 pages). 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

E. Barrabés, J. M. Cors, A. C. Fernandes, C. Vidal.
On nested central configurations of the 3n-body problem.
J. Nonlinear Sci., 35, Paper num 67. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

L. Barreira, J. Llibre, C. Valls.
Flows with constant slope on the Klein bottle.
Quaest. Math., 48(3), 515-523. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

L. Barreira, J. Llibre, C. Valls.
A weakened Markus-Yamabe condition for generalized $\varphi$-Laplacian Liénard systems.
Bull. Korean Math. Soc., 62(6), 1677-1685. 2025. [DOI]
Abstract

D. d. C. Braga, F. S. Dias, J. Llibre, L. F. Mello.
The matching of two Markus-Yamabe piecewise smooth systems in the plane.
Nonlinear Anal. Real World Appl., 82, Paper No. 104254. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

D. d. C. Braga, F. S. Dias, J. Llibre, L. F. Mello.
Polynomial differential systems with an arbitrary number of limit cycles surrounding a star node.
J. Differential Equations, 445, 113740 (6 pages). 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

F. Braun, L. P. C. Cruz, J. Torregrosa.
Local and global analysis of the displacement map for some near integrable systems.
Phys. D, 483, 134932 (11 pages). 2025. [DOI]
PreprintAbstractPreprint at DDDUAB