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]
PreprintAbstractPreprint at DDDUAB

M. Álvarez-Ramírez, J. Llibre.
Global phase portrait of a rolling motion of ships equation.
Qual. Theory Dyn. Syst., 24(65), . 2025. [DOI]
PreprintAbstract

Y. Bao, S. Li, J. Llibre, Y. Zhao.
On the number of limit cycles for two classes of polynomial differential systems.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 35(6), 2550070 (12 pages). 2025. [DOI]
PreprintAbstract

D. d. C. Braga, F. S. Dias, J. Llibre, L. F. Mello.
The matching of two Markus-Yamabe piecewise smooth systems in the plane.
Nonlinear Anal. Real World Appl., 82, Paper No. 104254. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

F. Braun, J. Llibre.
On the connection between global centers and global injectivity in the plane.
Differ. Equ. Dyn. Syst., 33(1), 71-79. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

C. A. Buzzi, A. Gasull, P. Santana.
On the cyclicity of hyperbolic polycycles.
J. Differential Equations, 429, 646-677. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

B. Campos, J. Canela, A. Rodríguez-Arenas, P. Vindel.
Computing parameter planes of iterative root-finding methods with several free critical points.
Math. Comput. Simulation, 228, 52-72. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

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]
PreprintAbstractPreprint at DDDUAB

O. A. R. Cespedes, J. Llibre.
Zero-Hopf bifurcation in a modified Van der Pol-Duffing oscillator.
Axioms, 14(321), . 2025.
PreprintFull PDF

T. Chen, J. Llibre.
Topological classification of some SD Hamiltonian systems.
Differ. Equ. Dyn. Syst., 33(1), 97-121. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

A. Cima, A. Gasull, V. Mañosa, F. Mañosas.
Invariant graphs and dynamics of a family of continuous piecewise linear planar maps.
Qual. Theory Dyn. Syst., 24(70), 103 pp.. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

L. P. C. Cruz, A. C. Rezende, J. Torregrosa.   NEW 2025-02-21
Coexistence of analytic and piecewise analytic limit cycles in planar piecewise quadratic differential systems.
Qual. Theory Dyn. Syst., 24(103), . 2025. [DOI]
PreprintAbstract

L. P. C. Cruz, J. Torregrosa, M. Berdugo, J. Sardanyés.
Resource-consumer dynamics in drylands: Modeling the role of plant-plant facilitation-competition shifts with a piecewise system.
Phys. D, 473(134548), 11 pp.. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

P. Maesschalck, J. Torregrosa.
Limit cycles and critical periods with non-hyperbolic slow-fast systems.
J. Differential Equations, 433, 113307 (24 pages). 2025. [DOI]
PreprintAbstract

I. A. García, J. Giné, J. Llibre.
Characterization of global centers by the monodromy at infinity.
Commun. Nonlinear Sci. Numer. Simul., 142, 108543. 2025. [DOI]
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R. A. Garcia, C. Grotta Ragazzo, L. F. Mello, M. A. Teixeira, J. Torregrosa.   NEW 2025-01-23
Stability and bifurcation - dedicated to Jorge Sotomayor (in memoriam).
2025. Special Collection in São Paulo Journal of Mathematical Sciences.
Link to Collection

A. Gasull, L. F. d. S. Gouveia, P. Santana.
On the limit cycles of a quartic model for evolutionary stable strategies.
Nonlinear Anal. Real World Appl., 84, 104313. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

A. Gasull, P. Santana.
A note on Hilbert 16th problem.
Proc. Amer. Math. Soc., 153(2), 669-677. 2025. [DOI]
PreprintAbstractFull PDFPreprint 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]
PreprintAbstract