C1-stably ℒpshadowable homoclinic classes

DOI10.1080/14689367.2010.489893zbMath1223.37034OpenAlexW2061103606MaRDI QIDQ3168709

Abbas Fakhari

Publication date: 19 April 2011

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689367.2010.489893

zbMATH Keywords

hyperbolicshadowinghomoclinic class

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Partially hyperbolic systems and dominated splittings (37D30) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Related Items (1)

Periodically expansive homoclinic classes

Cites Work

• \( C^1\)-stable shadowing diffeomorphisms
• Partial hyperbolicity and robust transitivity
• An ergodic closing lemma
• Orbital and weak shadowing properties
• \(C^1\)-stably shadowable chain components are hyperbolic
• Sets of dynamical systems with various limit shadowing properties
• Generation of homoclinic tangencies by \(C^1\)-perturbations
• Expansive homoclinic classes
• Robustly expansive homoclinic classes
• Adapted metrics for dominated splittings
• Recurrence and genericity

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