The average-shadowing property and topological ergodicity

DOI10.1016/j.cam.2006.08.025zbMath1115.37005OpenAlexW2029557149MaRDI QIDQ2370689

Rong-Bao Gu

Publication date: 29 June 2007

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2006.08.025

zbMATH Keywords

Lyapunov stable systemtopologically ergodic system

Mathematics Subject Classification ID

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

Related Items (12)

Parameterized \textit{IFS} with the asymptotic average shadowing property ⋮ On shadowing: ordinary and ergodic ⋮ The average shadowing property and chaos for continuous flows ⋮ h–Average-Shadowing Property and Chaos ⋮ The \(d\)-shadowing property and average shadowing property for iterated function systems ⋮ The average-shadowing property and strong ergodicity ⋮ Approximate solutions by truncated Taylor series expansions of nonlinear differential equations and related shadowing property with applications ⋮ Controlled shadowing property ⋮ Strong ergodicity of systems with the average shadowing property ⋮ Unnamed Item ⋮ Limsup Shadowing Property and Chaotic Behaviors ⋮ Average Shadowing Property and Asymptotic Average Shadowing Property of Linear Dynamical Systems

Cites Work

• On some stochastic properties in Devaney's chaos
• Small perturbations of chaotic dynamical systems
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms
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