Local topological stability for diffeomorphisms

DOI10.1007/s12346-023-00755-6OpenAlexW4321249707MaRDI QIDQ2694527

Manseob Lee

Publication date: 3 April 2023

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-023-00755-6

zbMATH Keywords

hyperbolicchain transitive settransitive setlocal starlocally topologically stable

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50)

Cites Work

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• Anosov diffeomorphisms are topologically stable
• On semi-stability for diffeomorphisms
• Shadowable chain transitive sets
• SHADOWABLE CHAIN TRANSITIVE SETS OF C¹-GENERIC DIFFEOMORPHISMS
• Expansive homoclinic classes
• The topological stability of diffeomorphisms
• Diffeomorphisms in ℱ¹(M) satisfy Axiom A
• Filtrations, Decompositions, and Explosions
• The set of axiom A diffeomorphisms with no cycles
• Necessary Conditions for Stability of Diffeomorphisms

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