Chain Mixing and Chain Transitive Iterated Function Systems

DOI10.1080/1726037X.2020.1856338zbMath1499.37026OpenAlexW3118402539MaRDI QIDQ5029658

M. Fatehi Nia

Publication date: 14 February 2022

Published in: Journal of Dynamical Systems and Geometric Theories (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/1726037x.2020.1856338

zbMATH Keywords

iterated function systemschain transitivechain mixingchain recurrentadding machine maps

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (1)

\(G\)-chain mixing and \(G\)-chain transitivity in metric \(G\)-space

Cites Work

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• Fractal continuation
• On shadowing: ordinary and ergodic
• Various shadowing properties for positively expansive maps
• A characterization of adding machine maps
• Chain recurrence rates and topological entropy
• Parameterized \textit{IFS} with the asymptotic average shadowing property
• THE CONLEY ATTRACTORS OF AN ITERATED FUNCTION SYSTEM
• Adding machine maps and minimal sets for iterated function systems
• Various shadowing properties and their equivalent for expansive iterated function systems
• Chain transitivity, attractivity, and strong repellors for semidynamical systems

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