M. Álvarez-Ramírez, J. D. García Saldaña, J. Llibre.
Integrability and periodic orbits of a 3D jerk system with two quadratic nonlinearities.
Nonlinear Anal. Real World Appl., 88, 104491 (6 pages). 2026. [DOI] (Preprint)
PreprintAbstract

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]
PreprintAbstractPreprint at DDDUAB

G. Anacona, J. Llibre, B. R. de Freitas.
On the limit cycles bifurcating from the periodic orbits of the Hamiltonian system.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 35(4), Paper No. 2550040, 8. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

J. C. Artés, L. Cairó, J. Llibre.
Phase portraits of the family IV of the quadratic polynomial differential systems.
Qual. Theory Dyn. Syst., 24(Article number 66), . 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

L. Bacelar, J. Llibre.   NEW 2025-07-23
Reversible nilpotent centers with cubic nonlinearities.
Rend. Circ. Mat. Palermo (2), 74(5), Paper Num 138. 2025. [DOI]
PreprintAbstract

A. Bakhshalizadeh, J. Llibre, A. C. Rezende.
Global dynamics analysis of a class of quadratic polynomial differential systems with an invariant plane in $R^3$.
NoDEA Nonlinear Differential Equations Appl., 32(77), (40 pages). 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

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]
PreprintAbstractPreprint at DDDUAB

E. Barrabés, J. M. Cors, A. C. Fernandes, C. Vidal.
On nested central configurations of the 3n-body problem.
J. Nonlinear Sci., 35, Paper num 67. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

L. Barreira, J. Llibre, C. Valls.
Flows with constant slope on the Klein bottle.
Quaest. Math., 48(3), 515-523. 2025. [DOI]
PreprintAbstractPreprint at DDDUAB

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

D. d. C. Braga, F. S. Dias, J. Llibre, L. F. Mello.   NEW 2025-09-02
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.   NEW 2025-06-01
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