Diffeomorphisms with a generalized Lipschitz shadowing property

DOI10.3934/DCDS.2020346zbMath1473.37027OpenAlexW3093036240MaRDI QIDQ1995577

Manseob Lee, Xiao Wen, Jumi Oh

Publication date: 24 February 2021

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

Full work available at URL: https://doi.org/10.3934/dcds.2020346

zbMATH Keywords

structural stabilityhyperbolicityPerron propertygeneralized Lipschitz shadowing property

Mathematics Subject Classification ID

Generic properties, structural stability of dynamical systems (37C20) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Stability theory for smooth dynamical systems (37C75) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (2)

Unnamed Item ⋮ A generalized Lipschitz shadowing property for flows

Cites Work

• Generalizations of analogs of theorems of Maizel and Pliss and their application in shadowing theory
• A proof of the \(C^ 1\) stability conjecture
• Stability theorems and hyperbolicity in dynamical systems
• Pseudo-orbit tracing property and strong transversality of diffeomorphisms on closed manifolds
• Shadowing in dynamical systems
• \(C^1\)-stably shadowable chain components are hyperbolic
• Shadowing and hyperbolicity
• Lipschitz shadowing implies structural stability
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