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arxiv: 1006.3725 · v1 · pith:H7VEGHJYnew · submitted 2010-06-18 · 🧮 math.DS

Topological stability for conservative systems

classification 🧮 math.DS
keywords flowsanalogousanosovc1-incompressiblec1-interiorcaseconservativecontained
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We prove that the C1-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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