Leafwise shadowing property for partially hyperbolic diffeomorphisms

DOI10.1080/14689367.2019.1667958zbMath1450.37022OpenAlexW2972324446MaRDI QIDQ3298337

Paulo Varandas, Fagner B. Rodrigues, Armando Castro

Publication date: 14 July 2020

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689367.2019.1667958

zbMATH Keywords

uniform hyperbolicitypartial hyperbolicityleafwise shadowing property

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Invariant manifold theory for dynamical systems (37D10) Partially hyperbolic systems and dominated splittings (37D30)

Related Items (4)

Quasi-shadowing for partially hyperbolic dynamics on Banach spaces ⋮ Various shadowing properties for time varying maps ⋮ Specification and thermodynamic properties of topological time-dependent dynamical systems ⋮ A general approach to nonautonomous shadowing for nonlinear dynamics

Cites Work

• Unnamed Item
• Partial hyperbolicity and central shadowing
• Contributions to the stability conjecture
• Pseudo-orbit tracing property and strong transversality of diffeomorphisms on closed manifolds
• An ergodic closing lemma
• Pseudo-orbit shadowing in the \(C^1\) topology
• Partially hyperbolic diffeomorphisms with a uniformly compact center foliation: the quotient dynamics
• Lipschitz shadowing implies structural stability
• The topological stability of diffeomorphisms
• Pas de “Shadowing lemma” pour les dynamiques partiellement hyperboliques
• An open set of maps for which every point is absolutely nonshadowable
• Quasi-shadowing for partially hyperbolic diffeomorphisms
• Necessary Conditions for Stability of Diffeomorphisms
• Invariant manifolds

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