26 publications found

J. Llibre, H. Zeng.   NEW 2025-02-01
Limit cycles of planar discontinuous piecewise linear Hamiltonian systems separated by irreducible cubic curves.
Preprint. February, 2025.
Abstract

J. D. García Saldaña, A. Gasull, S. Rebollo-Perdomo.   NEW 2025-01-29
A new family of integrable differential systems in arbritrary dimension.
Preprint. January, 2025.
PreprintAbstract

A. Gasull, G. Rondon, P. R. Silva.   NEW 2025-01-15
Simultaneous bifurcation of limit cycles for piecewise holomorphic systems.
Preprint. January, 2025.
PreprintAbstract

Y. Li, J. Llibre.   NEW 2025-01-13
Rigid polynomial differential systems with quartic homogeneous nonlinearities.
Preprint. January, 2025.
Abstract

J. Llibre, T. Salhi.   NEW 2024-12-30
New dynamics in the Rössler system.
Preprint. December, 2024.
Abstract

J. Li, J. Llibre.   NEW 2024-12-20
On the limit cycles of two classes of discontinuous piecewise Hamiltonian differential systems.
Preprint. December, 2024.
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.
Acta Mathematica Scientia, 45B(2), . 2025. [DOI]
PreprintAbstract

L. Barreira, J. Llibre, C. Valls.   NEW 2024-12-02
On the global nilpotent centers of cubic polynomial Hamiltonian systems.
Differ. Equ. Dyn. Syst., 32(4), 1001-1011. 2024. [DOI]
PreprintAbstract

J. Llibre, D. He.   NEW 2024-12-02
Correction to: Limit cycles in a class of planar discontinuous piecewise quadratic differential systems with a non-regular line of discontinuity (II).
Mediterranean J. Math., 21, 192. 2024. [DOI]
Preprint

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

D. He, J. Llibre.   NEW 2024-12-01
The uniform isochronous centers with homogeneous nonlinearities of degree 6.
J. Dyn. Control Syst., 30(3), Paper 34. 2024. [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]
PreprintAbstract

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), 799-822. 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) [DOI]
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.
Phys. D 2024 (Published online) [DOI]
PreprintAbstract