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 ...

• Cyclicity of a simple focus via the vanishing multiplicity of inverse integrating factors 

  García, I. A. (Isaac A.); Llibre, Jaume; Maza Sabido, Susanna (Elsevier, 2013)

  First we provide new properties about the vanishing multiplicity of the inverse integrating factor of a planar analytic differential system at a focus. After we use this vanishing multiplicity for studying the cyclicity ...

• 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 ...