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

A. Gasull, P. Santana.   NEW 2024-07-18
A note on Hilbert 16th problem.
Preprint. July, 2024.
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. June, 2024.
Abstract

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

J. Casimiro, J. Llibre.   NEW 2024-06-16
Limit cycles of discontinuous piecewise differential hamiltonian systems separated by a circle, or a parabola, or a hyperbola.
Math. Comput. Simulation, 225, 303-312. 2024. [DOI]
PreprintAbstract

J. Llibre, T. Salhi.   NEW 2024-06-16
Planar quadratic differential systems with invariants of the form $ax^2+ bxy + cy^2 + dx + ey + c_1t$.
Bulletin of the Iranian Mathematical Society, 50(49), . 2024. [DOI]
PreprintAbstract

L. P. C. Cruz, A. C. Rezende, J. Torregrosa.   NEW 2024-06-13
Hybrid simultaneous bifurcation of limit cycles in planar piecewise quadratic differential systems.
Preprint. June, 2024.
PreprintAbstract

P. Maesschalck, J. Torregrosa.   NEW 2024-06-13
Limit cycles and critical periods with non-hyperbolic slow-fast systems.
Preprint. June, 2024.
Abstract

J. Llibre, R. Tian.   NEW 2024-05-24
Phase portraits of cubic polynomial Kolmogorov differential systems having a rational first integral of degree three.
Preprint. May, 2024.
Abstract

J. Escobar A., L. Jiménez-Lara, J. Llibre.   NEW 2024-05-23
Two-center problem with harmonic-like interactions: periodic orbits and integrability.
Preprint. May, 2024.
Abstract

L. Baymout, R. Benterki, J. Llibre.   NEW 2024-05-20
Limit cycles of the discontinuous piecewise differential systems separated by a nonregular line and formed by a linear center and a quadratic one.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 34(5), 245005. 2024. [DOI]
PreprintAbstract

D. Marín, J. Villadelprat.   NEW 2024-05-20
Asymptotic expansion of the Dulac map and time for unfoldings of hyperbolic saddles: coefficient properties.
J. Differential Equations, 404, 43-107. 2024. [DOI]
PreprintAbstract