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https://locus.ufv.br//handle/123456789/21533
Tipo: | Artigo |
Título: | N-expansive homeomorphisms with the shadowing property |
Autor(es): | Carvalho, B. Cordeiro, W. |
Abstract: | We discuss the dynamics of n-expansive homeomorphisms with the shadowing property defined on compact metric spaces. For every n∈N, we exhibit an n-expansive homeomorphism, which is not (n−1)-expansive, has the shadowing property and admits an infinite number of chain-recurrent classes. We discuss some properties of the local stable (unstable) sets of n-expansive homeomorphisms with the shadowing property and use them to prove that some types of the limit shadowing property are present. This deals some direction to the problem of non-existence of topologically mixing n-expansive homeomorphisms that are not expansive. |
Palavras-chave: | Expansive n-expansive Shadowing Transitive Limit shadowing |
Editor: | Journal of Differential Equations |
Tipo de Acesso: | Elsevier Inc. |
URI: | https://doi.org/10.1016/j.jde.2016.06.003 http://www.locus.ufv.br/handle/123456789/21533 |
Data do documento: | 15-Set-2016 |
Aparece nas coleções: | Artigos |
Arquivos associados a este item:
Arquivo | Descrição | Tamanho | Formato | |
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artigo.pdf Until 2100-12-31 | Texto completo | 290,08 kB | Adobe PDF | Visualizar/Abrir ACESSO RESTRITO |
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