M. J. Álvarez, B. Coll, A. Gasull, R. Prohens.
More limit cycles for complex differential equations with three monomials.
J. Differential Equations, 416, 1071–1098. 2025. [DOI]
PreprintAbstract

B. Campos, J. Canela, A. Rodríguez-Arenas, P. Vindel.   NEW 2024-11-30
Computing parameter planes of iterative root-finding methods with several free critical points.
Math. Comput. Simulation, 228, 52-72. 2025. [DOI]
PreprintAbstractFull PDF

V. Castellanos, J. Llibre.
Persistence and zero-Hopf equilibrium in the tritrophic food chain model with Holling functional response.
Nonlinear Anal. Real World Appl., 82, 104232. 2025. [DOI]
Abstract

J. Ginoux, R. Meucci, J. Llibre, J. C. Sprott.   NEW 2024-10-17
Energy Function of 2D and 3D Dynamical Systems.
Chaos Solitons Fractals, . 2025. [DOI]
PostprintAbstract

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]
Abstract

J. Llibre, P. Santana.
Limit cycles and chaos in planar hybrid systems.
Commun. Nonlinear Sci. Numer. Simul., 140, 108382. 2025. [DOI]
Abstract

J. Llibre, C. Valls.   NEW 2024-12-06
The global dynamics of a 3-dimensional differential system in $R^3$ via a Darboux invariant.
45B(2), . 2025. [DOI]
Abstract

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.   NEW 2024-11-30
Convex symmetric rectangular pentagon central configurations.
Commun. Nonlinear Sci. Numer. Simul., 138, 108250. 2024. [DOI]
PostprintAbstract

M. E. Anacleto, J. Llibre, C. Valls, C. Vidal.   NEW 2024-11-23
On the crossing limit cycles created by discontinuous piecewise differential system formed by three linear Hamiltonian saddles.
Dyn. Syst., 39(4), . 2024. [DOI]
PreprintAbstract

R. F. Appis, J. Llibre.
Global centers of a family of cubic systems.
Aequationes Math., . 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]
PreprintAbstractFull PDF

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]
PreprintAbstractFull PDFPreprint 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)PostprintAbstract

A. Bakhshalizadeh, J. Llibre.
Phase portraits of a class of cubic systems with an ellipse and a straight line as invariant algebraic curves.
Differ. Equ. Dyn. Syst., 32(3), 871-907. 2024. [DOI]
PreprintAbstractPreprint at DDDUAB

M. Barcelona, À. Haro, J. M. Mondelo.
Semianalytical computation of heteroclinic connections between center manifolds with the parameterization method.
SIAM J. Appl. Dyn. Syst., 23(1), 98-126. 2024. [DOI]
PreprintAbstractFull PDFPreprint at DDDUAB

L. Baymout, R. Benterki, J. Llibre.
The solution of the extended 16th Hilbert problem for some classes of piecewise differential systems.
Mathematics, 12(3), 464. 2024. [DOI]
PreprintAbstractPreprint at DDDUAB