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Shadowing, expansiveness and specification for C1-conservative systems
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Orientador(es)
Resumo(s)
We prove that a C -generic volume-preserving dynamical system (diffeomor- phism or flow) has the shadowing property or is expansive or has the weak specification property if and only if it is Anosov. Finally, as in [10, 27], we prove that the C -robustness, within the volume-preserving context, of the expansiveness property and the weak specifica- tion property, imply that the dynamical system (diffeomorphism or flow) is Anosov.
Descrição
Palavras-chave
Shadowing Expansiveness Specification Generic Anosov Volume-preserving Star systems
Contexto Educativo
Citação
M. Bessa, M. Lee, X. Wen, Shadowing, expansiveness and specification for C1-conservative systems, Acta Mathematica Scientia, 35, 3, 2015, Pages 583-600
Editora
Elsevier