The measures of shadowable pseudo-orbits

DOI10.1080/14689367.2019.1703907zbMath1471.37024OpenAlexW2996486021MaRDI QIDQ3388731

Naoya Sumi, Kazuhiro Sakai

Publication date: 6 May 2021

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

Full work available at URL: https://doi.org/10.1080/14689367.2019.1703907

zbMATH Keywords

shadowing propertypseudo-orbitsshadowable measures

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Dynamical systems involving maps of the interval (37E05) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Dynamics in general topological spaces (37B02) Approximate trajectories, pseudotrajectories, shadowing and related notions for topological dynamical systems (37B65)

Cites Work

• Unnamed Item
• Nonuniform hyperbolicity for \(C^{1}\)-generic diffeomorphisms
• Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)
• Stability theorems and hyperbolicity in dynamical systems
• Shadowing property and invariant measures having full supports
• Diffeomorphisms with shadowable measures
• Pseudo-orbit shadowing in the \(C^1\) topology
• Chain recurrence rates and topological entropy
• Shadowing and hyperbolicity

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