\(C^1\)-persistently continuum-wise expansive homoclinic classes and recurrent sets

DOI10.1016/j.topol.2012.11.013zbMath1269.37018OpenAlexW1980681199MaRDI QIDQ1935847

Tarun Das, Manseob Lee, Keon-Hee Lee

Publication date: 19 February 2013

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2012.11.013

zbMATH Keywords

hyperbolicitydominated splittinghomoclinic classchain recurrent setcontinuum-wise expansivitychain component

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Partially hyperbolic systems and dominated splittings (37D30) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Related Items (7)

Robustly measure expansiveness for C¹ vector fields ⋮ Continuum-wise expansive homoclinic classes for robust dynamical systems ⋮ Unnamed Item ⋮ Continuum-wise expansiveness for discrete dynamical systems ⋮ Continuum-wise expansive symplectic diffeomorphisms ⋮ Asymptotic measure-expansiveness for generic diffeomorphisms ⋮ Continuum-wise expansive diffeomorphisms and conservative systems

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