Diffeomorphisms with \(\mathcal L^{p}\)-shadowing property

DOI10.1007/S10114-011-0050-7zbMath1217.37022OpenAlexW2128124041MaRDI QIDQ546268

Khosro Tajbakhsh, Abbas Fakhari, Keon-Hee Lee

Publication date: 24 June 2011

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-011-0050-7

zbMATH Keywords

\(\mathcal L^{p}\)-shadowing\(C^{1}\)-interiorstructurally stable diffeomorphism

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50)

Related Items (2)

Stable weakly shadowable volume-preserving systems are volume-hyperbolic ⋮ Admissibility, a general type of Lipschitz shadowing and structural stability

Cites Work

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• Varios shadowing properties and their equivalence
• Diffeomorphisms with weak shadowing
• Characterisations of Ω-stability and structural stability via inverse shadowing
• Diffeomorphisms in ℱ¹(M) satisfy Axiom A
• Necessary Conditions for Stability of Diffeomorphisms
• Diffeomorphisms with the average-shadowing property on two-dimensional closed manifolds

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