Chaos induced by sliding phenomena in Filippov systems
Dynamical Systems
2017-12-29 v1
Abstract
In this paper we provide a full topological and ergodic description of the dynamics of Filippov systems nearby a sliding Shilnikov orbit. More specifically we prove that the first return map, defined nearby this orbit, is topologically conjugate to a Bernoulli shift with infinite topological entropy. In particular, we see that for each natural number m it has infinitely many periodic points with period m.
Keywords
Cite
@article{arxiv.1609.02643,
title = {Chaos induced by sliding phenomena in Filippov systems},
author = {Douglas Duarte Novaes and Gabriel Ponce and Régis Varão},
journal= {arXiv preprint arXiv:1609.02643},
year = {2017}
}