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]
PreprintAbstract

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

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]
PreprintAbstract

J. Li, J. Llibre.   NEW 2025-03-01
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]
PreprintAbstract

J. Li, J. Llibre.   NEW 2025-02-25
The global dynamics of the Painlevé-Gambier equations XVIII, XXI and XXII.
Mathematics, 13(5), 756. 2025. [DOI]
PreprintAbstract

J. Llibre, J. R. Moraes.   NEW 2025-03-03
Analytic study of two limit cycles bifurcating from a zero-Hopf equilibrium.
Bol. Soc. Mat. Mexicana, 31(43), . 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]
PreprintAbstract

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, X. Sun.   NEW 2025-03-07
Small-amplitude periodic solutions in the jerk equation of arbitrary degree.
Phys. D, 476, 134628. 2025. [DOI]
PreprintAbstract

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]
PreprintAbstract

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.   NEW 2025-03-24
Global asymptotic stability in quadratic systems.
Electron. J. Differential Equations, 36, 1-12. 2025. [DOI]
PreprintAbstract

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]
PreprintAbstract

J. Llibre, Y. Zhao.   NEW 2025-03-27
Final evolutions for Lotka-Volterra systems in $R^3$ having a Darboux invariant.
Electron. J. Differential Equations, 37, 1-16. 2025. [DOI]
PreprintAbstract

D. Marín, J. Villadelprat.   NEW 2025-03-30
The cyclicity of hyperbolic hemicycles.
J. Differential Equations, 433, 113281. 2025. [DOI]
PreprintAbstract

R. Ortega, D. Rojas.
Relativistic effects in the dynamics of a particle in a Coulomb field.
Phys. D, 472, 134534. 2025.
PreprintAbstractPreprint at DDDUAB

J. Torregrosa.
Cubic planar vector fields with high local cyclicity.
Sao Paulo J. Math. Sci., 19(4), . 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

P. B. Acosta-Humánez, J. T. Lázaro, J. J. Morales-Ruiz, C. Pantazi.
Semiclassical quantification of some two degree of freedom potentials: a differential Galois approach.
J. Math. Phys., 65, 012106. 2024. [DOI]
PreprintAbstractPreprint at DDDUAB

Ll. Alsedà, L. Bordignon, J. Groisman.
Topological entropy, sets of periods and transitivity for graph maps.
Ukraïn. Mat. Zh., 76(1), 31-47. 2024. [DOI]
PreprintAbstractPreprint at DDDUAB

M. Álvarez-Ramírez, M. Corbera, J. M. Cors.
Convex symmetric rectangular pentagon central configurations.
Commun. Nonlinear Sci. Numer. Simul., 138, 108250. 2024. [DOI]
PreprintAbstractPreprint at DDDUAB