Generic diffeomorphisms with measure-expansive homoclinic classes

DOI10.1080/10236198.2013.829053zbMath1360.37060OpenAlexW1975855426MaRDI QIDQ5746474

Manseob Lee, Keon-Hee Lee, Nam Jip Koo

Publication date: 18 February 2014

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2013.829053

zbMATH Keywords

hyperbolicitygeneric diffeomorphismmeasure-expansive homoclinic class

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Generic properties, structural stability of dynamical systems (37C20)

Related Items (6)

Robustly measure expansiveness for C¹ vector fields ⋮ Unnamed Item ⋮ Topological stability and pseudo-orbit tracing property for expansive measures ⋮ R-robustly measure expansive homoclinic classes are hyperbolic ⋮ Asymptotic measure-expansiveness for generic diffeomorphisms ⋮ Measure expansive flows for the generic view point

Cites Work

• Robustly expansive homoclinic classes are generically hyperbolic
• Contributions to the stability conjecture
• An ergodic closing lemma
• \(C^1\)-stably shadowable chain components are hyperbolic
• Robustly expansive codimension-one homoclinic classes are hyperbolic
• Expansive homoclinic classes
• Diffeomorphisms in ℱ¹(M) satisfy Axiom A
• Robustly expansive homoclinic classes
• Recurrence and genericity

This page was built for publication: Generic diffeomorphisms with measure-expansive homoclinic classes