A note on ergodicity of systems with the asymptotic average shadowing property

DOI10.1155/2011/360583zbMath1242.37019OpenAlexW2167797239WikidataQ58655464 ScholiaQ58655464MaRDI QIDQ764545

Risong Li, Xiaoliang Zhou

Publication date: 13 March 2012

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/360583

zbMATH Keywords

Lyapunov stabilitytopological transitivityasymptotic average shadowing property

Mathematics Subject Classification ID

Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50)

Related Items (3)

Characterizing ergodicity of induced hyperspace dynamical systems ⋮ Chaos in a topologically transitive semi-flow ⋮ Unnamed Item

Cites Work

• On ergodicity of systems with the asymptotic average shadowing property
• The asymptotic average shadowing property and transitivity
• The average-shadowing property and topological ergodicity for flows
• Exploring the asymptotic average shadowing property
• Small perturbations of chaotic dynamical systems
• Diffeomorphisms with the average-shadowing property on two-dimensional closed manifolds

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