Dynamics of iteration operators on self-maps of locally compact Hausdorff spaces

DOI10.1017/etds.2023.34OpenAlexW4367844749MaRDI QIDQ6198055

Murugan Veerapazham, Chaitanya Gopalakrishna, Wei Nian Zhang

Publication date: 20 February 2024

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/etds.2023.34

zbMATH Keywords

chaostopological conjugacyperiodic pointsiteration operatorBabbage equation

Mathematics Subject Classification ID

Continuous maps (54C05) Iteration theory, iterative and composite equations (39B12) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Fixed-point iterations (47J26) Dynamics in general topological spaces (37B02)

Cites Work

• Continuity of iteration and approximation of iterative roots
• The compact-open topology: A new perspective
• On an equation of linear iteration
• Zur Iteration reeller Funktionen
• A topology for spaces of transformations
• The Embedding of Homeomorphisms in Flows
• On monotonic solutions of a functional equation (I)
• The Set of all Iterates is Nowhere Dense in C([ 0, 1 , [ 0, 1 ])]
• Period Three Implies Chaos
• PM functions, their characteristic intervals and iterative roots
• Dynamics of the iteration operator on the space of continuous self-maps
• Dynamics in One Complex Variable. (AM-160)
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