Robustly expansive codimension-one homoclinic classes are hyperbolic

DOI10.1017/S0143385708000175zbMath1160.37009OpenAlexW2053761337MaRDI QIDQ3598968

Martín Sambarino, José L. Vieitez, Enrique R. Pujals, Maria Jose Pacifico

Publication date: 3 February 2009

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385708000175

zbMATH Keywords

hyperbolicityhomoclinic classesexpansiveness of a diffeomorphism

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Morse-Smale systems (37D15)

Related Items

N-expansive homeomorphisms on surfaces, 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, Symbolic extensions and dominated splittings for generic \(C^1\)-diffeomorphisms, Unnamed Item, Generic diffeomorphisms with measure-expansive homoclinic classes, Codimension one structurally stable chain classes, Continuum-wise expansiveness for discrete dynamical systems, R-robustly measure expansive homoclinic classes are hyperbolic, On measure expansive diffeomorphisms, HYPERBOLICITY OF HOMOCLINIC CLASSES OF VECTOR FIELDS

Cites Work

• Homoclinic tangencies and hyperbolicity for surface diffeomorphisms
• An ergodic closing lemma
• Robustly expansive homoclinic classes
• Necessary Conditions for Stability of Diffeomorphisms
• Unnamed Item