J. Llibre, A. Murza.
Polynomial vector fields on the Möbius strip.
Preprint. November, 2024.
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J. Llibre, X. Zhang.
Zero-Hopf equilibria in Hamiltonian systems.
Preprint. October, 2024.
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G. Anacona Erazo, J. Llibre, B. R. de Freitas.
Centers of cubic polynomial differential equations.
Preprint. October, 2024.
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Z. Guo, J. Llibre.
The dynamics of the planar Hindmarsh-Rose burster system.
Preprint. October, 2024.
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J. Llibre, C. A. B. Rodrigues.
On the limit cycles of piecewise hybrid Hamiltonian linear systems separated by a circle.
Preprint. October, 2024.
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J. Llibre, L. P. Serantola.
Hopf bifurcation for the prey-predator Rosenzweig-MacArthur model.
Preprint. September, 2024.
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J. Llibre, A. Murza.
Darboux theory of integrability for real polynomial vector fields on the $n-$dimensional ellipsoid.
Preprint. September, 2024.
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M. R. A. Gouveia, J. Llibre, L. A. Roberto.
Periodic orbits in a perturbed Henon-Heiles Hamiltonian system.
Preprint. August, 2024.
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M. Belattar, J. Llibre.
The global dynamics of a Rayleigh system.
Preprint. August, 2024.
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J. C. Artés, J. Llibre, D. Schlomiuk, N. Vulpe.
Codimension in planar polynomial differential systems.
Preprint. August, 2024.
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J. Llibre, R. Tian.
The dynamics of a family of rigid polynomial differential systems of degree three.
Preprint. August, 2024.
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J. Llibre, A. Makhlouf.
The zero-Hopf bifurcations of the quadratic polynomial differential jerk systems in ${{R}^3}$.
Preprint. July, 2024.
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A. M. Escobar, L. Jiménez-Lara, J. Llibre.
Two-center problem with harmonic-like interactions: periodic orbits and integrability.
Preprint. May, 2024.
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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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A. C. Rezende, M. A. S. Santos, J. Torregrosa.
Period function of planar reversible quadratic systems.
Preprint. May, 2024.
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J. C. Artés, C. Trullàs.
Quadratic differential systems with a weak focus of first order and a finite saddle-node.
Preprint. March, 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.
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J. Llibre, R. Tian.
The easiest polynomial differential systems in ${{R}}^4$ having an invariant sphere.
Preprint. January, 2024.
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M. Corbera, C. Valls.
Phase portraits of a generalized Liénard system with homogeneous nonlinearities.
Preprint. December, 2023.
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W. Aziz, C. J. Christopher, C. Pantazi, S. Walcher.
Liouvillian integrability of three dimensional vector fields.
Preprint. December, 2023.
PreprintAbstract