Openness for Anosov families
Dynamical Systems
2017-11-22 v3
Abstract
Anosov families were introduced by A. Fisher and P. Arnoux motivated by generalizing the notion of Anosov diffeomorphism defined on a compact Riemannian manifold. Roughly, an Anosov family is a two-sided sequence of diffeomorphisms (or non-stationary dynamical system) with similar behavior to an Anosov diffeomorphisms. We show that the set consisting of Anosov families is an open subset of the set consisting of two-sided sequences of diffeomorphisms, which is endowed with the strong topology (or Whitney topology).
Keywords
Cite
@article{arxiv.1709.00633,
title = {Openness for Anosov families},
author = {Jeovanny de Jesus Muentes Acevedo},
journal= {arXiv preprint arXiv:1709.00633},
year = {2017}
}