Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/345341
Type: Artigo
Title: Chaos induced by sliding phenomena in Filippov systems
Author: Novaes, Douglas D.
Ponce, Gabriel , Varão, Régis
Abstract: In this paper we provide a full topological and ergodic description of the dynamics of Filippov systems nearby a sliding Shilnikov orbit Γ. More specifically we prove that the first return map, defined nearby Γ , is topologically conjugate to a Bernoulli shift with infinite topological entropy. In particular, we see that for each m∈ N it has infinitely many periodic points with period m. We also study the perturbed system and obtain similar results. © 2017, Springer Science+Business Media New York.
Subject: Dinâmica topológica
Caos determinístico
Teoria ergódica
Órbitas homoclínicas
Sistemas de Filippov
Country: Estados Unidos
Editor: Springer
Rights: fechado
Identifier DOI: 10.1007/s10884-017-9580-8
Address: https://link.springer.com/article/10.1007%2Fs10884-017-9580-8
Date Issue: 2017
Appears in Collections:IMECC - Artigos e Outros Documentos

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