Shadowing, expansiveness and specification for C1-conservative systems

Bessa, Mário; Lee, Manseob; Wen, Xiao

http://hdl.handle.net/10400.2/13897

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Authors

Bessa, Mário

Lee, Manseob

Wen, Xiao

Abstract(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.

Keywords

Shadowing Expansiveness Specification Generic Anosov Volume-preserving Star systems

URI

http://hdl.handle.net/10400.2/13897

Citation

M. Bessa, M. Lee, X. Wen, Shadowing, expansiveness and specification for C1-conservative systems, Acta Mathematica Scientia, 35, 3, 2015, Pages 583-600