Non-uniformly hyperbolic periodic points and uniform hyperbolicity forC1diffeomorphisms

DOI10.1088/0951-7715/23/5/012zbMath1207.37016OpenAlexW2018877125MaRDI QIDQ3565019

Xue Ting Tian, Wen Xiang Sun

Publication date: 27 May 2010

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/23/5/012

zbMATH Keywords

classificationLyapunov exponentsisomorphismPesin theorynon-uniformly hyperbolic systemshomeomorphisms and diffeomorphisms of planes and surfacesentropy and other invariants

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Dynamical systems with hyperbolic orbits and sets (37D05) Partially hyperbolic systems and dominated splittings (37D30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Related Items (4)

The structure on invariant measures of \(C^{1}\) generic diffeomorphisms ⋮ Uniform hyperbolicity revisited: index of periodic points and equidimensional cycles ⋮ On \(\mathrm{C}^1\)-class local diffeomorphisms whose periodic points are nonuniformly expanding ⋮ Shadowing properties for weakly hyperbolic \(\mathbb{Z}^d\)-actions

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