Orbital shadowing for \(C^1\)-generic volume-preserving diffeomorphisms

DOI10.1155/2013/693032zbMath1470.37033OpenAlexW2040710346WikidataQ58916638 ScholiaQ58916638MaRDI QIDQ2318983

Manseob Lee

Publication date: 16 August 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/693032

Mathematics Subject Classification ID

Generic properties, structural stability of dynamical systems (37C20) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50)

Related Items

Eventual shadowing for chain transitive sets of $C^1$ generic dynamical systems ⋮ The barycenter property for robust and generic diffeomorphisms ⋮ Symplectic diffeomorphisms with limit shadowing ⋮ Flows with ergodic pseudo orbit tracing property ⋮ Unnamed Item ⋮ Orbital shadowing property on chain transitive sets for generic diffeomorphisms ⋮ Asymptotic orbital shadowing property for diffeomorphisms

Cites Work

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• Topological stability for conservative systems
• GENERIC DIFFEOMORPHISMS WITH ROBUSTLY TRANSITIVE SETS
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• Recurrence and genericity