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

M. T. Anacona, G. Anacona, J. Llibre.   NEW 2024-12-01
Limit cycles of a class of hybrid piecewise differential systems with a discontinuity line of L shape.
Preprint. December, 2024.
Abstract

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

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]
PreprintAbstract

J. Llibre, C. Valls.   NEW 2024-11-24
Phase portraits of the equation $\ddot x + a x \dot x + b x^3=0$.
Regul. Chaotic Dyn., 29(6), 825-837. 2024. [DOI]
PreprintAbstract

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

S. Hussein, J. Llibre.   NEW 2024-11-21
On the integrability of a Sprott cubic conservative jerk system.
Internat. J. Bifur. Chaos Appl. Sci. Engrg. 2024 (Published online)
PreprintAbstract

J. Llibre, R. D. S. Oliveira.   NEW 2024-11-19
Limit cycles of planar discontinuous piecewise linear Hamiltonian systems in three regions of $Y$-type.
Preprint. November, 2024.
Abstract

A. Gasull, D. Rojas.   NEW 2024-11-19
Monotonous period function for equivariant differential equations with homogeneous nonlinearities.
Preprint. November, 2024.
PreprintAbstract

J. Llibre, A. Murza.   NEW 2024-11-11
Polynomial vector fields on the Möbius strip.
Preprint. November, 2024.
Abstract

J. M. Cors, M. Garrido.   NEW 2024-11-06
Symmetric comet-type periodic orbits in the elliptic three-dimensional restricted (N+1)-body problem.
To appear in Phys. D
PreprintAbstract

B. Espigulé, D. Juher, J. Saldaña.   NEW 2024-11-04
Collinear fractals and Bandt's conjecture.
Preprint. October, 2024.
PreprintAbstract

J. Llibre, X. Zhang.   NEW 2024-10-23
Zero-Hopf equilibria in Hamiltonian systems.
Preprint. October, 2024.
Abstract

G. Anacona, J. Llibre, B. R. de Freitas.   NEW 2024-10-23
Centers of cubic polynomial differential equations.
Preprint. October, 2024.
Abstract

A. Gasull, L. F. d. S. Gouveia, P. Santana.   NEW 2024-10-23
On the limit cycles of a quartic model for evolutionary stable strategies.
Preprint. October, 2024.
PreprintAbstract

E. Diz Pita, J. Llibre, M. V. Otero Espinar, C. Valls.   NEW 2024-10-17
On the integrability and dynamics of the Hide, Skeldon and Acheson differential system.
Preprint. October, 2024.
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]
PreprintAbstract

Z. Diab, J. L. G. Guirao, J. Llibre.   NEW 2024-10-14
Zero-Hopf bifurcation of a $5$D hyperchaotic quadratic polynomial differential systems.
Preprint. October, 2024.
Abstract

Z. Guo, J. Llibre.   NEW 2024-10-14
The dynamics of the planar Hindmarsh-Rose burster system.
Preprint. October, 2024.
Abstract

J. Llibre, A. Makhlouf.   NEW 2024-10-09
Limit cycles of nonlinear torsional vibration system via averaging theory.
Palest. J. Math., 11(1), 1-5. 2022.
PreprintAbstract