Lipschitz shadowing in piecewise-linear mappings

DOI10.1134/S0012266116130048zbMath1367.37029OpenAlexW2594684207MaRDI QIDQ5919813

Sergei Yu. Pilyugin, A. A. Rodionova

Publication date: 15 June 2017

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266116130048

zbMATH Keywords

structural stabilityshadowingpseudotrajectory

Mathematics Subject Classification ID

Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Cites Work

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• Theory of pseudo-orbit shadowing in dynamical systems
• The space of dynamical systems with the \(C^ 0\)-topology
• Shadowing in dynamical systems
• Lipschitz shadowing implies structural stability
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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