Conservative flows with various types of shadowing

Bessa, Mário; Ribeiro, Raquel

http://hdl.handle.net/10400.2/13826

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Autores

Bessa, Mário

Ribeiro, Raquel

Resumo(s)

In the present paper we study the C1-robustness of the three properties: average shadowing, asymptotic average shadowing and limit shadowing within two classes of conservative flows: the incompressible and the Hamiltonian ones. We obtain that the first two properties guarantee dominated splitting (or partial hyperbolicity) on the whole manifold, and the third one implies that the flow is Anosov.

URI

http://hdl.handle.net/10400.2/13826

Citação

Mário Bessa, Raquel Ribeiro, Conservative flows with various types of shadowing, Chaos, Solitons & Fractals, Volume 75, 2015, Pages 243-252

Editora

Elsevier

DOI

10.1016/j.chaos.2015.02.022

Coleções

Matemática e Estatística | Artigos em revistas internacionais / Papers in international journals

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