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 Craik-Okamoto and the Euler top.
Phys. D, 476, 134684. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.   NEW 2025-08-26
On a class of rigid polynomial centers.
J. Dyn. Control Syst., 31(Article 27), 17 pages. 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]
PreprintAbstractPreprint at DDDUAB

J. Llibre, Y. Zhao.
Final evolutions for Lotka-Volterra systems in $R^3$ having a Darboux invariant.
Electron. J. Differential Equations, 37, Paper No. 37, 16. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Llibre, Y. Zhao, S. Li.
On the index of an isolated equilibrium point for piecewise polynomial differential systems.
J. Math. Anal. Appl., 551(2), 129651. 2025. [DOI]
preprintAbstractPreprint at DDDUAB

V. Mañosa, C. Pantazi.
Kahan-Hirota-Kimura maps preserving original cubic Hamiltonians.
Math. Comput. Simulation, 238, 240-254. 2025. [DOI]
PreprintAbstractFull PDFPreprint at DDDUAB

D. Marín, L. Queiroz, J. Villadelprat.
The period of the limit cycle bifurcating from a persistent polycycle.
Publ. Mat., 69, 299-318. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

D. Marín, J. Villadelprat.
The cyclicity of hyperbolic hemicycles.
J. Differential Equations, 433, Paper No. 113281, 59. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

R. Ortega, D. Rojas.
Relativistic effects in the dynamics of a particle in a Coulomb field.
Phys. D, 472(134534), 9 PP.. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

H. Ou, J. Llibre.   NEW 2025-07-11
Quadratic systems with two invariant real straight lines and an invariant ellipse.
J. Fixed Point Theory Appl., 27(article 89), 18 pages. 2025. [DOI]
PreprintAbstract

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

M. E. Anacleto, J. Llibre, C. Valls, C. Vidal.
On the crossing limit cycles created by discontinuous piecewise differential system formed by three linear Hamiltonian saddles.
Dyn. Syst., 39(4), 799-822. 2024. [DOI]
PreprintAbstractPreprint at DDDUAB

R. F. Appis, J. Llibre.
Global centers of a family of cubic systems.
Aequationes Math., 98, 1373-1389. 2024. [DOI]
PreprintAbstractPreprint at DDDUAB

J. C. Artés.
Structurally unstable quadratic vector fields of codimension two: families possessing one finite saddle-node and a separatrix connection.
Qual. Theory Dyn. Syst., 23(40), . 2024. [DOI]
PreprintAbstractPreprint at DDDUAB

J. C. Artés, H. Chen, L. M. Ferrer, M. Jia.
Quadratic vector fields in class I.
Dyn. Syst., 40(2), 191-222. 2024. [DOI]
PreprintAbstractPreprint at DDDUAB

J. C. Artés, J. Llibre, D. Schlomiuk, N. Vulpe.
Abel quadratic differential systems of second kind.
Electron. J. Differential Equations, 2024(50), 1-38. 2024. [DOI]
PreprintAbstractPreprint at DDDUAB