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

• 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 ...

• Periodic orbits in Hyperchaotic Chen systems 

  Maza Sabido, Susanna (Texas State University, 2015)

  In this work, we show a zero-Hopf bifurcation in a Hyperchaotic Chen system. Using averaging theory, we prove the existence of two periodic orbits bifurcating from the zero-Hopf equilibria located at the origin of ...

• 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 ...