A remark on the topological stability of symplectomorphisms

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Feb 2012Embargo end date: 01 Jan 2011 English Publisher:Elsevier BVJournal:Applied Mathematics Letters, volume 25, pages 163-165 (issn: 0893-9659,

Copyright policy )Funded by:FCT | Nonuniformly Hyperbolic D..., FCT | ABUNDÂNCIA DE EXPOENTES D...

Authors: Mário Bessa; Jorge Rocha 0002;

doi: 10.1016/j.aml.2011.08.007 , 10.48550/arxiv.1101.5128

arXiv: 1101.5128

A remark on the topological stability of symplectomorphisms

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Abstract

We prove that the C1 interior of the set of all topologically stable C1 symplectomorphisms is contained in the set of Anosov symplectomorphisms.

4 pages

Related Organizations

University of Porto
Portugal
Instituto Politécnico Nacional
Mexico
Polytechnic Institute of Coimbra
Portugal

Keywords

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.), Applied Mathematics, Anosov systems, Symplectomorphisms, Dynamical Systems (math.DS), Generic properties, structural stability of dynamical systems, symplectomorphisms, Global theory of symplectic and contact manifolds, FOS: Mathematics, Mathematics - Dynamical Systems, Topological stability, topological stability

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