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]
PreprintAbstractPreprint at DDDUAB

J. Llibre, C. Valls.   NEW 2025-06-01
On the dynamics of the Craik-Okamoto and the Euler top.
Phys. D, 476, 134684. 2025. [DOI]
Abstract

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.   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]
PreprintAbstractPreprint at DDDUAB

J. Llibre, Y. Zhao, S. Li.   NEW 2025-04-07
On the index of an isolated equilibrium point for piecewise polynomial differential systems.
J. Math. Anal. Appl., 551(2), 129651. 2025. [DOI]
Abstract

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

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

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, 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

J. C. Artés, J. Llibre, D. Schlomiuk, N. Vulpe.
Global analysis of Riccati quadratic differential systems.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 34(1), 2450004. 2024. [DOI]
PreprintAbstractPreprint at DDDUAB

J. C. Artés, J. Llibre, N. Vulpe.
Dynamics of the isotopic star differential system from the mathematical and physical point of views.
Appl. Math., 4(1), 70-78. 2024. [DOI]
PreprintAbstractPreprint at DDDUAB

J. C. Artés, M. C. Mota, A. C. Rezende.
Quadratic systems possessing an infinite elliptic-saddle or an infinite nilpotent saddle.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 34(11), 2430023. 2024. [DOI]
Preprint (Extended Version)PreprintAbstractPreprint at DDDUAB