M. F. S. Lima, J. Llibre.
The easiest polynomial differential system in ${{R}}^3$ having an invariant elliptic paraboloid.
Preprint. May, 2024.
Abstract

J. Llibre, R. Tian.
On the invariant straight lines of the polynomial differential systems in ${{R}}^3$.
Preprint. February, 2024.
Abstract

M. Corbera, C. Valls.
Phase portraits of a generalized Liénard system with homogeneous nonlinearities.
Preprint. December, 2023.
Abstract

W. Aziz, C. J. Christopher, C. Pantazi, S. Walcher.
Liouvillian integrability of three dimensional vector fields.
Preprint. December, 2023.
PreprintAbstract

J. Llibre, X. Zhang.
Periodic orbits and non-existence of $C^1$ first integrals for analytic differential systems exhibiting a zero-Hopf bifurcation in $R^3$.
Preprint. November, 2023.
Abstract

J. Llibre, J. Yu.
Periodic orbits and $C^1$ non-integrability of the 3D van der Pol-Duffing oscillator system.
Preprint. November, 2023.
Abstract

J. J. Jimenez Ruiz, J. Llibre.
Limit cycles for continuous and discontinuous perturbations of two cubic isochronous centers.
Preprint. August, 2023.
Abstract

A. A. Rabia, J. Llibre, A. Makhlouf.
Periodic solutions for two classes of Duffing differential equations via averaging theory.
Preprint. August, 2023.
Abstract

Z. Diab, J. L. G. Guirao, J. Llibre.
Periodic orbit in the zero-Hopf bifurcation of the 5-dimensional hyper-chaotic Lorenz system.
Preprint. July, 2023.
Abstract

J. J. Jimenez Ruiz, J. Llibre.
Limit cycles for a class of discontinuous piecewise differential systems in $R^3$ separated by a quadric.
Preprint. July, 2023.
Abstract

J. J. Jimenez Ruiz, J. Llibre.
Dynamics of the flows with constant slope on the cylinder and on the Möbius strip.
Preprint. June, 2023.
Abstract

J. Llibre, D. He.
Limit cycles from the perturbation of a quadratic uniform isochronous center inside the discontinuous piecewise quadratic polynomial differential systems.
Preprint. June, 2023.
Abstract

M. R. A. Gouveia, J. Llibre, L. P. Serantola.
Limit cycles of a class of discontinous piecewise differential systems.
Preprint. June, 2023.
Abstract

M. Duran Baldissera, B. de Carvalho, J. Llibre.
Phase portraits of completely symmetric centers.
Preprint. May, 2023.
Abstract

J. Llibre.
Periodic orbits near an equilibrium for Hamiltonian systems with 2 degrees of freedom.
Preprint. April, 2023.
Abstract

J. Llibre, D. Schlomiuk.
On the graphics in quadratic differential systems.
Preprint. April, 2023.
Abstract

Ll. Alsedà, S. Costa.
Coexistence of uncountably many attracting sets for skew-products on the cylinder.
Preprint. November, 2022.
PreprintAbstract

J. Li, J. Llibre.
Global dynamics of the Ermakov-Pinney equation.
Preprint. May, 2022.
Abstract

J. Llibre, R. O. Ramírez.
Generalization of the Laplace-Runge-Lenz conservation law.
Preprint. May, 2022.
Abstract