123 publications found

A. Gasull, P. Santana.   NEW 2024-07-18
A note on Hilbert 16th problem.
Preprint. July, 2024.
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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.
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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.
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J. Torregrosa.   NEW 2024-06-27
Cubic planar vector fields with high local cyclicity.
Preprint. June, 2024.
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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

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.
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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.
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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.
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M. F. S. Lima, J. Llibre.   NEW 2024-05-12
The easiest polynomial differential system in $\mathbb{{R}}^3$ having an invariant elliptic paraboloid.
Preprint. May, 2024.
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A. C. Rezende, M. A. S. Santos, J. Torregrosa.   NEW 2024-05-12
Period function of planar reversible quadratic systems.
Preprint. May, 2024.
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A. Gasull, P. Santana.   NEW 2024-05-08
On a variant of Hilbert's 16th problem.
Preprint. May, 2024.
PreprintAbstract

J. Llibre, B. R. de Freitas.   NEW 2024-05-08
On the limit cycles bifurcating from the periodic orbits of the Hamiltonian system with Hamiltonian $H=(x^{2n}+y^{2n})/(2n)$.
Preprint. May, 2024.
Abstract

J. Llibre, J. R. Moraes.   NEW 2024-04-30
Analytic study of two limit cycles bifurcating from a zero-Hopf equilibrium.
Preprint. April, 2024.
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M. J. Álvarez, B. Coll, A. Gasull, R. Prohens.   NEW 2024-04-22
More limit cycles for complex differential equations with three monomials.
Preprint. April, 2024.
PreprintAbstract

J. Llibre, C. Valls.   NEW 2024-04-22
On the dynamics of a hyperjek memristive system.
Preprint. April, 2024.
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A. C. Rezende, M. A. S. Santos, J. Torregrosa.   NEW 2024-04-20
Period function for a family of piecewise planar Hamiltonian systems.
Preprint. April, 2024.
Abstract

A. Gasull.   NEW 2024-04-16
From Abel's differential equations to Hilbert's 16th problem.
Preprint. April, 2024.
PreprintAbstract