Applications of Mañé’s 𝐶² connecting lemma

DOI10.1090/S0002-9939-09-10148-XzbMath1190.37015OpenAlexW1514456914WikidataQ124880733 ScholiaQ124880733MaRDI QIDQ3552126

Shuhei Hayashi

Publication date: 13 April 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-09-10148-x

zbMATH Keywords

invariant measureshomoclinic pointuniform hyperbolicitybasic setshomoclinic classesconnecting lemmaAxiom A with no cycles\( C^2 \) generic properties

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Generic properties, structural stability of dynamical systems (37C20) Dynamical systems with hyperbolic orbits and sets (37D05) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Related Items

A $C^2$ generic trichotomy for diffeomorphisms: Hyperbolicity or zero Lyapunov exponents or the $C^1$ creation of homoclinic bifurcations

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