Dynamical systems with Lipschitz inverse shadowing properties

DOI10.3103/S106345411103006XzbMath1256.37009MaRDI QIDQ1759528

Sergei Yu. Pilyugin, G. I. Vol'fson, D. I. Todorov

Publication date: 21 November 2012

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

zbMATH Keywords

dynamical systemsstructural stabilitytransversalityinverse shadowing

Mathematics Subject Classification ID

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

Related Items

Lipschitz inverse shadowing for non-singular flows ⋮ Relations between shadowing and inverse shadowing in dynamical systems ⋮ Admissibility, a general type of Lipschitz shadowing and structural stability

Cites Work

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• Inverse shadowing by continuous methods
• Approximate and real trajectories for generic dynamical systems
• Lipschitz shadowing implies structural stability
• Hyperbolic homeomorphisms and bishadowing
• Generalizations of the notion of hyperbolicity