The \(d\)-shadowing property and average shadowing property for iterated function systems

DOI10.1155/2020/4374508zbMath1441.37025OpenAlexW3022346285MaRDI QIDQ2179155

Yanyan Li

Publication date: 12 May 2020

Published in: Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/4374508

zbMATH Keywords

shadowing propertyiterated function systemstopological ergodicitychain mixing

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Topological entropy (37B40) Approximate trajectories, pseudotrajectories, shadowing and related notions for topological dynamical systems (37B65)

Cites Work

• The average-shadowing property and strong ergodicity
• On shadowing: ordinary and ergodic
• Various shadowing properties for positively expansive maps
• The chain properties and average shadowing property of iterated function systems
• The average-shadowing property and topological ergodicity
• The asymptotic average shadowing property and transitivity
• Relations of the almost average shadowing property with ergodicity and proximality
• Parameterized \textit{IFS} with the asymptotic average shadowing property
• Exploring the asymptotic average shadowing property
• On various definitions of shadowing with average error in tracing
• Some remarks on <span style="border-top: 1px solid; padding-top: 0px"><italic>d</italic></span>-shadowing property
• Shadowing and average shadowing properties for iterated function systems
• Strong ergodicity of systems with the average shadowing property

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