On strong ergodicity and chaoticity of systems with the asymptotic average shadowing property
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Publication:634920
DOI10.1016/J.CHAOS.2011.03.008zbMath1225.37031OpenAlexW1984371481MaRDI QIDQ634920
Publication date: 17 August 2011
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2011.03.008
Ergodicity, mixing, rates of mixing (37A25) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)
Related Items (8)
The asymptotic average shadowing property and strong ergodicity ⋮ Parameterized \textit{IFS} with the asymptotic average shadowing property ⋮ Unnamed Item ⋮ Multi-sensitivity, syndetical sensitivity and the asymptotic average- shadowing property for continuous semi-flows ⋮ Several sufficient conditions for a map and a semi-flow to be ergodically sensitive ⋮ Strong ergodicity of systems with the average shadowing property ⋮ Topological average shadowing property on uniform spaces ⋮ Shadowing, ergodic shadowing and uniform spaces
Cites Work
- The large deviations theorem and sensitivity
- On ergodicity of systems with the asymptotic average shadowing property
- Asymptotic average shadowing property on compact metric spaces
- Ergodic theory. Introductory lectures
- The asymptotic average shadowing property and transitivity
- Exploring the asymptotic average shadowing property
- On Li-Yorke pairs
- On Dynamical Systems With the Specification Property
- Periodic Points and Measures for Axiom a Diffeomorphisms
- Equilibrium states and the ergodic theory of Anosov diffeomorphisms
- Devaney's chaos or 2-scattering implies Li-Yorke's chaos
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