A. C. Fernandes, J. Llibre, L. F. Mello, A. M. Silva.
The symmetries in the spatial (1+5)-body problem.
Preprint. February, 2025.
Abstract

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

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

J. Li, J. Llibre.
On the limit cycles of two classes of discontinuous piecewise Hamiltonian differential systems.
Preprint. December, 2024.
Abstract

J. Llibre, A. Murza.
Polynomial vector fields on the Möbius strip.
Preprint. November, 2024.
Abstract

J. Llibre, X. Zhang.
Zero-Hopf equilibria in Hamiltonian systems.
Preprint. October, 2024.
Abstract

Z. Guo, J. Llibre.
The dynamics of the planar Hindmarsh-Rose burster system.
Preprint. October, 2024.
Abstract

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

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

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

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