J. Ginoux, J. Llibre, R. Meucci, J. C. Sprott.
Energy function of 2D and 3D coarse systems.
Chaos Solitons Fractals, 199, 116643 (9 pages). 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Ginoux, R. Meucci, J. Llibre, J. C. Sprott.
Energy Function of 2D and 3D Dynamical Systems.
Chaos Solitons Fractals, 190, 115768. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

M. R. A. Gouveia, J. Llibre, L. A. Roberto.
Phase portraits of a family of Hamiltonian cubic systems.
Differ. Equ. Dyn. Syst., 33(2), 747-755. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

D. He, J. Llibre.
Limit cycles in a class of planar discontinuous piecewise quadratic differential systems with a non-regular discontinuous boundary (I).
Math. Comput. Simulation, 229, 743–757. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

D. Juher, F. Mañosas, D. Rojas.
Characterization of the tree cycles with minimum positive entropy for any period.
Ergodic Theory Dynam. Systems, 45(10), 3148-3191. 2025. [DOI]
PreprintAbstractFull PDF

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

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]
PreprintAbstract

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]
PreprintAbstract

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, 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