D. d. C. Braga, F. S. Dias, J. Llibre, L. F. Mello.
Polynomial differential systems with an arbitrary number of limit cycles surrounding a star node.
J. Differential Equations, 445, 113740 (6 pages). 2025. [DOI]
PreprintAbstract

F. Braun, L. P. C. Cruz, J. Torregrosa.
Local and global analysis of the displacement map for some near integrable systems.
Phys. D, 483, 134932 (11 pages). 2025. [DOI]
PreprintAbstract

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

J. Canela, A. Garijo, P. Roesch.
Connected McMullen-like Julia sets in a Chebyshev-Halley family.
SIAM J. Appl. Dyn. Syst., 24(2), 1289-1315. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

C. Cao, H. Chen, J. Llibre, Y. Tang.
Global dynamics of the Selkov systems.
Phys. D, 482, 134894 (17 pages). 2025. [DOI]
PreprintAbstract

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

V. Castellanos, J. Llibre.
Zero-Hopf bifurcation in a family of tritrophic food chain model with Holling III-III functional response.
Math. Methods Appl. Sci., 48(3), . 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

O. A. R. Cespedes, J. Llibre.
On the dynamics of a modified van der pol–Duffing oscillator.
Axioms, 14(321), . 2025.
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T. Chen, J. Llibre.
Topological classification of some SD Hamiltonian systems.
Differ. Equ. Dyn. Syst., 33(1), 97-121. 2025. [DOI]
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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

B. Coll, A. Gasull, R. Prohens.
The effect of a singularity on transition maps.
Discrete Contin. Dyn. Syst. Ser. S, 18(12), 4021-4039. 2025. [DOI]
PreprintAbstract

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

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]
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Z. Diab, J. L. G. Guirao, J. Llibre.
Zero-Hopf bifurcation of a 5D hyperchaotic quadratic polynomial differential systems.
Math. Comput. Simulation, 238, 383-387. 2025. [DOI]
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E. Diz Pita, J. Llibre, M. V. Otero Espinar, C. Valls.
On the integrability and dynamics of the Hide, Skeldon and Acheson differential system.
Electron. J. Qual. Theory Differ. Equ., 76, 1-29. 2025. [DOI]
PreprintAbstract

G. Dong, J. Llibre.
The uniform isochronous centers with homogeneous nonlinearities of degree 5.
J. Dyn. Control Syst., 31(Article number 11), . 2025. [DOI]
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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]
PreprintAbstractPreprint at DDDUAB