J. Ginoux, R. Meucci, J. Llibre, G. Chen, L. O. Chua.   NEW 2026-03-23
From generalized controlled nonlinear oscillators to Lorenz-like systems.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 36(10), 2630022. 2026. [DOI]
PreprintAbstract

J. Li, J. Llibre.   NEW 2026-05-13
Averaging approach to the limit cycles of a class of discontinuous piecewise differential systems.
Acta Math. Sinica (N.S.), 42(4), 940-960. 2026. [DOI]
PreprintAbstract

J. Llibre, A. Murza.   NEW 2026-02-15
Invariant meridians and parallels on the hyperboloid of one sheet.
DIFFER GEOM, 102, 102326. 2026. [DOI]
Abstract

J. Llibre, R. D. S. Oliveira.
Limit cycles of planar discontinuous piecewise linear Hamiltonian systems in three regions of Y-type.
Chaos Solitons Fractals, 207, 117997. 2026. [DOI]
AbstractPreprint at DDDUAB

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, T. Salhi.   NEW 2026-06-08
New dynamics in the Rössler system.
Bulletin of the Iranian Mathematical Society, 52(37), . 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]
PreprintAbstractFull 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