The approximation of uniform hyperbolicity for \(C^1\) diffeomorphisms with hyperbolic measures

DOI10.1016/J.JDE.2020.11.032zbMath1460.37030OpenAlexW3106985569MaRDI QIDQ828296

Juan Wang, Rui Zou, Yong-Luo Cao

Publication date: 8 January 2021

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2020.11.032

zbMATH Keywords

Lyapunov exponentdominated splittinghyperbolic sethyperbolic measure

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Topological entropy (37B40) Dynamical systems with hyperbolic orbits and sets (37D05) Partially hyperbolic systems and dominated splittings (37D30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (2)

Dimension approximation in smooth dynamical systems ⋮ Horseshoes and Lyapunov exponents for Banach cocycles over non-uniformly hyperbolic systems

Cites Work

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