A remark on the topological stability of symplectomorphisms

DOI10.1016/J.AML.2011.08.007zbMath1231.37017arXiv1101.5128OpenAlexW1976975665MaRDI QIDQ659831

Mário Bessa, Jorge Rocha

Publication date: 24 January 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.5128

zbMATH Keywords

topological stabilityAnosov systemssymplectomorphisms

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Global theory of symplectic and contact manifolds (53D35) Generic properties, structural stability of dynamical systems (37C20)

Related Items (2)

Symplectic diffeomorphisms with inverse shadowing ⋮ Topological stability of a sequence of maps on a compact metric space

Cites Work

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• Partial hyperbolicity for symplectic diffeomorphisms
• Consequences of topological stability
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• Topological stability for conservative systems
• Anosov diffeomorphisms are topologically stable
• On semi-stability for diffeomorphisms
• Vector fields with topological stability
• Combined structural and topological stability are equivalent to Axiom A and the strong transversality condition
• Fixed Points of Topologically Stable Flows
• The topological stability of diffeomorphisms
• Quasi-Elliptic Periodic Points in Conservative Dynamical Systems
• A pasting lemma and some applications for conservative systems

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