Quasi-stability of partially hyperbolic diffeomorphisms

DOI10.1090/S0002-9947-2014-06037-6zbMath1341.37017arXiv1210.4766OpenAlexW2074252886MaRDI QIDQ5420137

Huyi Hu, Yu Jun Zhu

Publication date: 11 June 2014

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

Full work available at URL: https://arxiv.org/abs/1210.4766

zbMATH Keywords

entropypartial hyperbolicityquasi-stability

Mathematics Subject Classification ID

Topological entropy (37B40) Generic properties, structural stability of dynamical systems (37C20) Partially hyperbolic systems and dominated splittings (37D30)

Related Items (10)

Topological quasi-stability of partially hyperbolic diffeomorphisms under random perturbations ⋮ Continuity of topological entropy for perturbation of time-one maps of hyperbolic flows ⋮ Unstable entropy and unstable pressure for random partially hyperbolic dynamical systems ⋮ On the limit quasi-shadowing property ⋮ On robustness of orbit spaces for partially hyperbolic endomorphisms ⋮ On local constancy of topological entropy for certain partially hyperbolic diffeomorphisms ⋮ Local unstable entropy and local unstable pressure for random partially hyperbolic dynamical systems ⋮ Quasi-shadowing for partially hyperbolic diffeomorphisms ⋮ On the continuity of topological entropy of certain partially hyperbolic diffeomorphisms ⋮ Finite-expansivity and \(N\)-shadowing

Cites Work

• Stably ergodic dynamical systems and partial hyperbolicity
• Lectures on partial hyperbolicity and stable ergodicity
• Dynamics beyond uniform hyperbolicity. A global geometric and probabilistic perspective
• Anosov diffeomorphisms are topologically stable
• Topological stability of Anosov flows and their centralizers
• Topological entropy and partially hyperbolic diffeomorphisms
• Entropy of expansive flows
• PARTIALLY HYPERBOLIC DYNAMICAL SYSTEMS
• Quasi-shadowing for partially hyperbolic diffeomorphisms
• Entropy for Group Endomorphisms and Homogeneous Spaces
• Invariant manifolds
• Invariant manifolds
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