J. Li, J. Llibre.
Phase portraits of a class of continuous piecewise linear differential systems.
Differ. Equ. Dyn. Syst., 33(2), 689-746. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Li, J. Llibre.
Continuous-discontinuous piecewise differential systems with two pieces separated by a non-regular line.
Discrete Contin. Dyn. Syst. Ser. B, 30(9), 3277-3287. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Li, J. Llibre.
The global dynamics of the Painlevé-Gambier equations XVIII, XXI and XXII.
Mathematics, 13(5), 756. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

M. F. S. Lima, J. Llibre.
Double zero-Hopf bifurcation in a four-dimensional hyperchaotic system.
Bol. Soc. Mat. Mexicana, 31(142), . 2025. [DOI]
AbstractPreprint at DDDUAB

J. Llibre.
Algebraic limit cycles.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 35(14), 2540008. 2025. [DOI]
PreprintPreprint at DDDUAB

J. Llibre, J. R. Moraes.
Analytic study of two limit cycles bifurcating from a zero-Hopf equilibrium.
Bol. Soc. Mat. Mexicana, 31(43), . 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

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

J. Llibre, C. A. B. Rodrigues.
Limit cycles for piecewise hybrid Hamiltonian differential systems.
Sao Paulo J. Math. Sci., 19(Article 34), 8 pages. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, T. Salhi.
The easiest polynomial differential systems in $\mathbb R^3$ having an invariant hyperboloid.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 35(12), 2550139 (16 pages). 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, A. C. T. Sánchez, D. J. Tonon.
Limit cycles of discontinuous piecewise differential systems formed by two rigid systems separated by a straight line.
NoDEA Nonlinear Differential Equations Appl., 32(48), . 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, P. Santana.
Limit cycles and chaos in planar hybrid systems.
Commun. Nonlinear Sci. Numer. Simul., 140, 108382. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, L. P. Serantola.
The easiest polynomial differential systems in ${{R}}^3$ having an invariant cylinder.
Extracta Math., 40(1), 121-141. 2025. [DOI]
PreprintAbstractFull PDFPreprint at DDDUAB

J. Llibre, X. Sun.
Small-amplitude periodic solutions in the jerk equation of arbitrary degree.
Phys. D, 476, 134628. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, R. Tian.
Phase portraits of cubic polynomial Kolmogorov differential systems having a rational first integral of degree three.
J. Math. Phys., 66, 052702. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, R. Tian.
The easiest polynomial differential systems in ${{R}}^4$ having an invariant sphere.
Differ. Equ. Dyn. Syst., . 2025. [DOI]
Abstract

J. Llibre, C. Valls.
On the distribution of the zeros of some polynomial maps $( P, Q, R): R^3 \to R^3$.
J. Algebra Appl. , 24(8), 2650145 (13 pages). 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
Polynomial differential systems with invariant algebraic curves of arbitrary degree formed by Legendre polynomials.
J. Pure Appl. Algebra, 229(8), 108001. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.
The global dynamics of a 3-dimensional differential system in $R^3$ via a Darboux invariant.
Acta Mathematica Scientia, 45B(2), . 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

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

J. Llibre, C. Valls.
On the dynamics of the ACDM model of the universe.
Z. Angew. Math. Phys., 76(206), 15 pages. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB