Mañé theorem and the theory of shadowing of pseudotrajectories

DOI10.1134/S0012266114130047zbMath1351.37094MaRDI QIDQ2345826

Sergei Yu. Pilyugin

Publication date: 21 May 2015

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

zbMATH Keywords

stabilityflowsshadowing

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Cites Work

• Generalizations of analogs of theorems of Maizel and Pliss and their application in shadowing theory
• Stability theorems and hyperbolicity in dynamical systems
• Shadowing in dynamical systems
• Variational shadowing
• Lipschitz shadowing implies structural stability
• Extended f-orbits are approximated by orbits
• Hyperbolic Limit Sets
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms
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