Hyperbolic periodic points for chain hyperbolic homoclinic classes

DOI10.3934/dcds.2016.36.3911zbMath1353.37058arXiv1505.06148OpenAlexW2963958812MaRDI QIDQ262062

Yun Yang, Wen Xiang Sun

Publication date: 29 March 2016

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

Full work available at URL: https://arxiv.org/abs/1505.06148

zbMATH Keywords

topological entropychain hyperbolicityclosing propertygrowth of periodic pointsmaximal entropy measures

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Topological entropy (37B40) Dynamical systems with hyperbolic orbits and sets (37D05) Partially hyperbolic systems and dominated splittings (37D30) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Related Items (5)

Quasi-shadowing for partially hyperbolic flows with a local product structure ⋮ Quasi-shadowing for partially hyperbolic flows ⋮ Shadowing properties for weakly hyperbolic \(\mathbb{Z}^d\)-actions ⋮ Quasi-shadowing property on random partially hyperbolic sets ⋮ ON THE <i>F</i>-EXPANDING OF HOMOCLINIC CLASSES

Cites Work

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• Partial hyperbolicity and central shadowing
• The entropy conjecture for diffeomorphisms away from tangencies
• Essential hyperbolicity and homoclinic bifurcations: a dichotomy phenomenon/mechanism for diffeomorphisms
• Partial hyperbolicity far from homoclinic bifurcations
• Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
• Topological entropy and periodic orbits of saddle type for surface diffeomorphisms
• A global perspective for non-conservative dynamics
• Generic properties of invariant measures for Axiom A diffeomorphisms
• Quasi-shadowing for partially hyperbolic diffeomorphisms
• Periodic Points and Measures for Axiom a Diffeomorphisms
• Invariant manifolds

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