Horseshoes for \(\mathcal{C}^{1+\alpha}\) mappings with hyperbolic measures

DOI10.3934/dcds.2015.35.5133zbMath1345.37004arXiv1411.6949OpenAlexW2009596935MaRDI QIDQ255471

Yun Yang

Publication date: 9 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.6949

zbMATH Keywords

horseshoeshyperbolic entropyhyperbolic measuresnoninvertible mappingsshadowing lemma

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Topological entropy (37B40) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Related Items (6)

The approximation of uniform hyperbolicity for \(C^1\) diffeomorphisms with hyperbolic measures ⋮ Horseshoes for diffeomorphisms preserving hyperbolic measures ⋮ Dimension approximation in smooth dynamical systems ⋮ Horseshoes and Lyapunov exponents for Banach cocycles over non-uniformly hyperbolic systems ⋮ Dimension estimates for non-conformal repellers and continuity of sub-additive topological pressure ⋮ Continuity of sub-additive topological pressure with matrix cocycles ^*

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