Showing items related by title, author, creator and subject.

• On the periodic orbit bifurcating from a Hopf bifurcation in systems with two slow and one fast variables 

  García, I. A. (Isaac A.); Llibre, Jaume; Maza Sabido, Susanna (Elsevier, 2014)

  The Hopf bifurcation in slow-fast systems with two slow variables and one fast variable has been studied recently, mainly from a numerical point of view. Our goal is to provide an analytic proof of the existence of the ...

• Period annulus of the harmonic oscillator with zero cyclicity under perturbations with a homogeneous polynomial field 

  García, I. A. (Isaac A.); Maza Sabido, Susanna (Bolyai Institute. University of SzegedHungarian Academy of Sciences, 2019-01-14)

  In this work we prove, using averaging theory at any order in the small perturbation parameter, that the period annulus of the harmonic oscillator has cyclicity zero (no limit cycles bifurcate) when it is perturbed by any ...

• On the multiple zeros of a real analytic function with applications to the averaging theory of differential equations 

  García, I. A. (Isaac A.); Llibre, Jaume; Maza Sabido, Susanna (IOP Publishing, 2018-11-21)

  In this work we consider real analytic functions $d(z,\la,\e)$, where $d : \Omega \times \mathbb{R}^p \times I \to \Omega$, $\Omega$ is a bounded open subset of $\R$, $I \subset \mathbb{R}$ is an interval containing the ...