42 publications found

M. R. A. Gouveia, J. Llibre, L. A. Roberto.   NEW 2024-08-12
Periodic orbits in a perturbed Henon-Heiles Hamiltonian system.
Preprint. August, 2024.
Abstract

M. Belattar, J. Llibre.   NEW 2024-08-12
The global dynamics of a Rayleigh system.
Preprint. August, 2024.
Abstract

J. C. Artés, J. Llibre, D. Schlomiuk, N. Vulpe.   NEW 2024-08-08
Codimension in planar polynomial differential systems.
Preprint. August, 2024.
Abstract

R. Ortega, D. Rojas.   NEW 2024-08-02
Relativistic effects in the dynamics of a particle in a Coulomb field.
Preprint. August, 2024.
PreprintAbstract

A. Bakhshalizadeh, J. Llibre, A. C. Rezende.   NEW 2024-08-02
Global dynamics analysis of a class of quadratic polynomial differential systems with an invariant plane in $R^3$.
Preprint. August, 2024.
Abstract

J. Llibre, H. Xiong, W. Zhang.   NEW 2024-08-01
Algebraic limit cycles of planar discontinuous piecewise linear differential systems with an angular switching boundary.
Preprint. August, 2024.
Abstract

J. Llibre, R. Tian.   NEW 2024-08-01
The dynamics of a family of rigid polynomial differential systems of degree three.
Preprint. August, 2024.
Abstract

C. A. Buzzi, A. Gasull, P. Santana.   NEW 2024-07-30
On the cyclicity of hyperbolic polycycles.
Preprint. July, 2024.
PreprintAbstract

J. Llibre, A. Makhlouf.   NEW 2024-07-23
The zero-Hopf bifurcations of the quadratic polynomial differential jerk systems in ${{R}^3}$.
Preprint. July, 2024.
Abstract

A. Gasull, P. Santana.   NEW 2024-07-18
A note on Hilbert 16th problem.
To appear in Proc. Amer. Math. Soc.
PreprintAbstract

S. Li, J. Llibre, Q. Tong.   NEW 2024-07-15
Poincaré compactification for $n$-dimensional piecewise polynomial vector fields: Theory and Applications.
Preprint. July, 2024.
Abstract

C. Bouaziz, J. Llibre, A. Makhlouf.   NEW 2024-07-15
Limit cycle bifurcation from a zero-Hopf equilibrium for a class of 3-dimensional Kolmogorov systems.
Partial Differ. Appl. Math., 11, . 2024. [DOI]
PreprintAbstract

J. Llibre, C. A. B. Rodrigues.   NEW 2024-07-14
Limit cycles for piecewise hybrid Hamiltonian differential systems.
Preprint. July, 2024.
Abstract

J. Llibre, P. Santana.   NEW 2024-07-14
Limit cycles and chaos in planar hybrid systems.
Preprint. July, 2024.
Abstract

J. Llibre, Y. Tian.   NEW 2024-07-12
A survey on the Kovalevskaya exponents and their applications.
J. Math. Anal. Appl., 504(2), 125576. 2021. [DOI]
PreprintAbstractPreprint at DDDUAB

J. Li, J. Llibre.   NEW 2024-07-12
Phase portraits of two classes of Liénard equations.
Bol. Soc. Mat. Mexicana, 29(9), 18 pages. 2023. [DOI]
PreprintAbstractPreprint at DDDUAB

E. I. Abouelmagd, J. L. G. Guirao, J. Llibre.   NEW 2024-07-11
Periodic orbits of quantised restricted three-body problem.
Universe (Basel), 9(3), 149. 2023. [DOI]
PreprintAbstractFull PDFPreprint at DDDUAB

J. Torregrosa.   NEW 2024-06-27
Cubic planar vector fields with high local cyclicity.
Preprint. To appear in Sao Paulo J. Math. Sci.
PreprintAbstract

C. A. Buzzi, D. J. Tonon, J. Torregrosa.   NEW 2024-06-27
Limit cycles for a piecewise polynomial potential perturbation of a symmetric 8-loop Hamiltonian.
Preprint. June, 2024.
Abstract

V. Mañosa, C. Pantazi.   NEW 2024-06-17
Kahan-Hirota-Kimura maps preserving original cubic Hamiltonians.
Preprint. June, 2024.
PreprintAbstract