5,271 research outputs found
A remark on the topological stability of symplectomorphisms
We prove that the C1 interior of the set of all topologically stable C1
symplectomorphisms is contained in the set of Anosov symplectomorphisms.Comment: 4 page
Topological stability for conservative systems
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.Comment: 8 page
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