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, H. Ou.
Quadratic systems with two invariant real straight lines and an invariant ellipse.
J. Fixed Point Theory Appl., 27(article 89), 18 pages. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, H. Ou.   NEW 2026-03-25
Quadratic systems with two invariant real straight lines and an invariant parabola.
Electron. J. Qual. Theory Differ. Equ., 66, 1-54. 2025. [DOI]
PreprintAbstract

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

J. Llibre, C. Valls.
Global asymptotic stability in quadratic systems.
Electron. J. Differential Equations, 36, 1-12. 2025. [DOI]
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J. Llibre, C. Valls.
On a class of rigid polynomial centers.
J. Dyn. Control Syst., 31(Article 27), 17 pages. 2025. [DOI]
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J. Llibre, C. Valls.
On the dynamics of the Craik-Okamoto and the Euler top.
Phys. D, 476, 134684. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, H. Xiong, W. Zhang.
Algebraic limit cycles of planar discontinuous piecewise linear differential systems with an angular switching boundary.
J. Math. Anal. Appl., 546, 129224. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB