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Topological stability for conservative systems

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Authors

Bessa, Mário

Advisor(s)

Abstract(s)

We prove that the C 1 interior of the set of all topologically stable C1 incompressible flows is contained in the set of Anosov incompressible flows. Moreover, we obtain an analogous result for the discrete-time case.

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Keywords

Volume-preserving flows and diffeomorphisms Topological stability Anosov systems

Citation

M. Bessa, J. Rocha, Topological stability for conservative systems, 250, 10, 3960-3966, 2011

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