On Equicontinuity, Transitivity and Distality of Iterated Function Systems

DOI10.1080/1726037X.2020.1847766zbMath1499.37011OpenAlexW3120558599MaRDI QIDQ5029660

Binod Mangang, Thiyam Thadoi Devi

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.2020.1847766

zbMATH Keywords

sensitivitytransitivitydistalityiterated function systemsequicontinuity

Mathematics Subject Classification ID

Dynamical systems involving maps of the interval (37E05) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Cites Work

• The chain properties and average shadowing property of iterated function systems
• Sensitivity of iterated function systems
• Parameterized \textit{IFS} with the asymptotic average shadowing property
• THE CONLEY ATTRACTORS OF AN ITERATED FUNCTION SYSTEM
• Iterated function systems and the global construction of fractals
• Introduction to Dynamical Systems
• Various shadowing properties and their equivalent for expansive iterated function systems
• Shadowing and average shadowing properties for iterated function systems
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