M. R. A. Gouveia,
J. Llibre, L. A. Roberto.
NEW 2024-08-12Periodic orbits in a perturbed Henon-Heiles Hamiltonian system.
Preprint. August, 2024.
Abstract
M. Belattar,
J. Llibre.
NEW 2024-08-12The global dynamics of a Rayleigh system.
Preprint. August, 2024.
Abstract
J. C. Artés,
J. Llibre, D. Schlomiuk, N. Vulpe.
NEW 2024-08-08Codimension in planar polynomial differential systems.
Preprint. August, 2024.
Abstract
R. Ortega,
D. Rojas.
NEW 2024-08-02Relativistic effects in the dynamics of a particle in a Coulomb field.
Preprint. August, 2024.
PreprintAbstract
A. Bakhshalizadeh,
J. Llibre, A. C. Rezende.
NEW 2024-08-02Global 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 2024-08-01Algebraic limit cycles of planar discontinuous piecewise linear differential systems with an angular switching boundary.
Preprint. August, 2024.
Abstract
J. Llibre, R. Tian.
NEW 2024-08-01The dynamics of a family of rigid polynomial differential systems of degree three.
Preprint. August, 2024.
Abstract
C. A. Buzzi,
A. Gasull, P. Santana.
NEW 2024-07-30On the cyclicity of hyperbolic polycycles.
Preprint. July, 2024.
PreprintAbstract
J. Llibre, A. Makhlouf.
NEW 2024-07-23The zero-Hopf bifurcations of the quadratic polynomial differential jerk systems in ${{R}^3}$.
Preprint. July, 2024.
Abstract
A. Gasull, P. Santana.
NEW 2024-07-18A note on Hilbert 16th problem.
To appear in Proc. Amer. Math. Soc.
PreprintAbstract
S. Li,
J. Llibre, Q. Tong.
NEW 2024-07-15Poincaré compactification for $n$-dimensional piecewise polynomial vector fields: Theory and Applications.
Preprint. July, 2024.
Abstract
C. Bouaziz,
J. Llibre, A. Makhlouf.
NEW 2024-07-15Limit 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 2024-07-14Limit cycles for piecewise hybrid Hamiltonian differential systems.
Preprint. July, 2024.
Abstract
J. Llibre, P. Santana.
NEW 2024-07-14Limit cycles and chaos in planar hybrid systems.
Preprint. July, 2024.
Abstract
J. Llibre, Y. Tian.
NEW 2024-07-12A 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 2024-07-12Phase 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 2024-07-11Periodic orbits of quantised restricted three-body problem.
Universe (Basel), 9(3), 149. 2023.
[DOI]PreprintAbstractFull PDFPreprint at DDDUAB
J. Torregrosa.
NEW 2024-06-27Cubic 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 2024-06-27Limit cycles for a piecewise polynomial potential perturbation of a symmetric 8-loop Hamiltonian.
Preprint. June, 2024.
Abstract
V. Mañosa,
C. Pantazi.
NEW 2024-06-17Kahan-Hirota-Kimura maps preserving original cubic Hamiltonians.
Preprint. June, 2024.
PreprintAbstract