Hyperbolicity of \(C^1\)-stably expansive homoclinic classes

DOI10.3934/dcds.2010.27.1133zbMath1196.37055OpenAlexW2107641585MaRDI QIDQ977933

Manseob Lee, Keon-Hee Lee

Publication date: 23 June 2010

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2010.27.1133

zbMATH Keywords

hyperbolicperiodichomoclinic class\(C^1\)-stably expansive

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Periodic and quasi-periodic flows and diffeomorphisms (37C55) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (10)

Expansive homoclinic classes of generic \(C^{1}\)-vector fields ⋮ Robustly measure expansiveness for C¹ vector fields ⋮ Continuum-wise expansive homoclinic classes for robust dynamical systems ⋮ Unnamed Item ⋮ Chain components with stably limit shadowing property are hyperbolic ⋮ Expansive transitive sets for robust and generic diffeomorphisms ⋮ Periodically expansive homoclinic classes ⋮ Continuum-wise expansiveness for discrete dynamical systems ⋮ R-robustly measure expansive homoclinic classes are hyperbolic ⋮ Asymptotic measure-expansiveness for generic diffeomorphisms

This page was built for publication: Hyperbolicity of \(C^1\)-stably expansive homoclinic classes