Salomón Rebollo-Perdomo

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20122026

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math.DS2026

A family of Hurwitz polynomial vector fields in $R^{3}$ having non-constant periodic orbits

Álvaro Castañeda, Salomón Rebollo-Perdomo

We construct a two-parameter family of polynomial vector fields in $R^{3}$ and prove that, on a nonempty open set of parameter values, every member of the family is Hurwitz…

math.DS2025

Abelian integrals for polynomials with trivial global monodromy on $C^{2}$

Jesús Muciño-Raymundo, Salomón Rebollo-Perdomo

We consider infinitesimal perturbations of Hamiltonian differential equations $d H + ε ω = 0$ on the complex plane $C^{2}$ , where $H$ is a polynomial of degree $m + 1$ …

math.DS2022

Discrete and continuous dynamics of real $3$ -dimensional nilpotent polynomial vector fields

Álvaro Castañeda, Salomón Rebollo-Perdomo

A large class of real $3$ -dimensional nilpotent polynomial vector fields of arbitrary degree is considered. The aim of this work is to present general properties of the discrete an…

math.DS2012

The number of medium amplitude limit cycles of some generalized Liénard systems

Salomón Rebollo-Perdomo

We will consider two special families of polynomial perturbations of the linear center. For the resulting perturbed systems, which are generalized Liénard systems, we provide the e…

A family of Hurwitz polynomial vector fields in R3 having non-constant periodic orbits

Abelian integrals for polynomials with trivial global monodromy on C2

Discrete and continuous dynamics of real 3-dimensional nilpotent polynomial vector fields

The number of medium amplitude limit cycles of some generalized Liénard systems

A family of Hurwitz polynomial vector fields in $R^{3}$ having non-constant periodic orbits

Abelian integrals for polynomials with trivial global monodromy on $C^{2}$

Discrete and continuous dynamics of real $3$ -dimensional nilpotent polynomial vector fields