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]
PostprintAbstract

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]
PostprintAbstract

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]
PostprintAbstract

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]
PostprintAbstract

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.
Abstract

A. C. Rezende, M. A. S. Santos, J. Torregrosa.   NEW 2024-05-12
Period function of planar reversible quadratic systems.
Preprint. May, 2024.
Abstract

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.
Abstract

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.
Abstract

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

M. Ascencio, E. Barrabés, J. M. Cors, C. Vidal.   NEW 2024-04-18
Stability of equilibrium points in the spatially restricted N+1 -body problem with Manev potential.
SIAM J. Appl. Dyn. Syst., 22(4), 2732-2760. 2023. [DOI]
PreprintAbstract