Quasi-shadowing for partially hyperbolic diffeomorphisms

DOI10.1017/etds.2014.126zbMath1317.37030arXiv1210.4988OpenAlexW2099710042MaRDI QIDQ5245328

Huyi Hu, Yun Hua Zhou, Yu Jun Zhu

Publication date: 8 April 2015

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.4988

zbMATH Keywords

partially hyperbolic diffeomorphismclosing lemmacenter foliationquasi-shadowing propertycloud lemma

Mathematics Subject Classification ID

Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Partially hyperbolic systems and dominated splittings (37D30)

Related Items (16)

Partial hyperbolicity and pseudo orbit tracing properties ⋮ Quasi-shadowing for partially hyperbolic dynamics on Banach spaces ⋮ Quasi-shadowing for partially hyperbolic flows with a local product structure ⋮ Leafwise shadowing property for partially hyperbolic diffeomorphisms ⋮ Quasi-shadowing for partially hyperbolic flows ⋮ On the limit quasi-shadowing property ⋮ On robustness of orbit spaces for partially hyperbolic endomorphisms ⋮ Shadowing properties for weakly hyperbolic \(\mathbb{Z}^d\)-actions ⋮ Quasi-shadowing and limit quasi-shadowing for quasi-partially hyperbolic strings of flows ⋮ Quasi-stability of partially hyperbolic diffeomorphisms ⋮ Quasi-shadowing property on random partially hyperbolic sets ⋮ A general approach to nonautonomous shadowing for nonlinear dynamics ⋮ Center specification property and entropy for partially hyperbolic diffeomorphisms ⋮ Unstable entropies and dimension theory of partially hyperbolic systems ⋮ Finite-expansivity and \(N\)-shadowing ⋮ Hyperbolic periodic points for chain hyperbolic homoclinic classes

Cites Work

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• Partial hyperbolicity and central shadowing
• Stably ergodic dynamical systems and partial hyperbolicity
• Dynamics beyond uniform hyperbolicity. A global geometric and probabilistic perspective
• Codimension-1 partially hyperbolic diffeomorphisms with a uniformly compact center foliation
• Anosov diffeomorphisms are topologically stable
• PARTIALLY HYPERBOLIC DYNAMICAL SYSTEMS
• Quasi-stability of partially hyperbolic diffeomorphisms
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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