Dynamics of the iteration operator on the space of continuous self-maps

DOI10.1090/proc/15178zbMath1457.39015OpenAlexW3026807965MaRDI QIDQ5146548

Chaitanya Gopalakrishna, Murugan Veerapazham, Wei Nian Zhang

Publication date: 26 January 2021

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/15178

zbMATH Keywords

chaostopological transitivityperiodic pointsiteration operatorBabbage equation

Mathematics Subject Classification ID

Continuous maps (54C05) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Iteration theory, iterative and composite equations (39B12) Dynamics in general topological spaces (37B02)

Related Items (2)

A note on iterated maps of the unit sphere ⋮ Dynamics of iteration operators on self-maps of locally compact Hausdorff spaces

Cites Work

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• Continuity of iteration and approximation of iterative roots
• A first course in discrete dynamical systems
• On an equation of linear iteration
• Zur Iteration reeller Funktionen
• 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
• Introduction to Dynamical Systems
• Dynamics in One Complex Variable. (AM-160)

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