Differentiable maps having the uniformly shadowing property

DOI10.1016/S0166-8641(01)00155-9zbMath0999.37013OpenAlexW2081283851MaRDI QIDQ1612264

Masatoshi Oka, Kazumine Moriyasu

Publication date: 22 August 2002

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0166-8641(01)00155-9

zbMATH Keywords

Axiom Ashadowingstrong transversality

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Generic properties, structural stability of dynamical systems (37C20) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50)

Cites Work

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• The \(C^ 1\) uniform pseudo-orbit tracing property
• Stability theorems and hyperbolicity in dynamical systems
• The space of dynamical systems with the \(C^ 0\)-topology
• Pseudo-orbit tracing property and strong transversality of diffeomorphisms on closed manifolds
• Differentiable maps having hyperbolic sets
• Shadowing in dynamical systems
• Neighborhoods of hyperbolic sets
• On Ω-stability and structural stability of endomorphisms satisfying Axiom A
• Anosov endomorphisms
• Invariant manifolds

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