Strong ergodicity of systems with the average shadowing property

DOI10.1080/14689367.2013.835791zbMath1291.37007OpenAlexW2011279507MaRDI QIDQ5406321

Yingxuan Niu, Yi Wang

Publication date: 1 April 2014

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689367.2013.835791

zbMATH Keywords

average shadowing propertyinvariant Borel probability measurepositive upper Banach density recurrent pointtotally strong ergodicity

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Stability of solutions to ordinary differential equations (34D20)

Related Items

The average shadowing property and chaos for continuous flows ⋮ The \(d\)-shadowing property and average shadowing property for iterated function systems ⋮ Several sufficient conditions for a map and a semi-flow to be ergodically sensitive ⋮ Chain mixing, shadowing properties and multi-transitivity

Cites Work

• The average-shadowing property and strong ergodicity
• On strong ergodicity and chaoticity of systems with the asymptotic average shadowing property
• A note on the average shadowing property for expansive maps
• On shadowing: ordinary and ergodic
• The average-shadowing property and topological ergodicity
• Small perturbations of chaotic dynamical systems
• Large deviations estimates for dynamical systems without the specification property. Application to the β-shifts
• Devaney's chaos or 2-scattering implies Li-Yorke's chaos