5 citations · 7 across the 3 of their papers we have counts for
3 papers
math.DS2014★ 1 cited
Dynamics forced by homoclinic orbits
Valentín Mendoza
The complexity of a dynamical system exhibiting a homoclinic orbit is given by the orbits that it forces. In this work we present a method, based in pruning theory, to determine th…
math.DS2014★ 1 cited
Renormalization and forcing of horseshoe orbits
Valentín Mendoza
In this paper we deal with the Boyland order of horseshoe orbits. We prove that there exists a set of renormalizable horseshoe orbits containing only quasi-one-dimens…
math.DS2011★ 5 cited
Proof of the Pruning Front Conjecture for certain Hénon parameters
Valentín Mendoza
The Pruning Front Conjecture is proved for an open set of Hénon parameters far from unimodal. More specifically, for an open subset of Hénon parameter space, consisting of two conn…