Various shadowing properties of iterated function systems

MaRDI QIDQ6663746

Lixin Jiao, Nan Wang, Shaoyun Shi, Lidong Wang

Publication date: 14 January 2025

Published in: Houston Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

specification propertyiterated function systems (IFS)asymptotic average shadowing property (AASP)\(d\)-shadowing propertyaverage shadowing property (ASP)

Mathematics Subject Classification ID

Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Dynamical systems and ergodic theory (37-XX)

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
• Sub-shadowings
• Various shadowing properties for positively expansive maps
• The chain properties and average shadowing property of iterated function systems
• On partial shadowing of complete pseudo-orbits
• The average-shadowing property and topological ergodicity
• The asymptotic average shadowing property and transitivity
• Parameterized \textit{IFS} with the asymptotic average shadowing property
• Exploring the asymptotic average shadowing property
• 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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