Which cycles force uncountably many orbit-types?

DOI10.1016/J.TOPOL.2023.108727MaRDI QIDQ6140867

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Publication date: 22 January 2024

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

forcing relationorbit-type

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Iteration of real functions in one variable (26A18) Dynamical systems involving maps of the interval (37E05) Combinatorial dynamics (types of periodic orbits) (37E15)

Cites Work

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• Generalizations of a theorem of Šarkovskii on orbits of continuous real-valued functions
• Dynamics in one dimension
• Interval maps where every point is eventually fixed
• Simple permutations with order a power of two
• No Division Implies Chaos
• Period Three Implies Chaos
• Forcing among patterns with no block structure
• Which orbit types force only finitely many orbit types?
• The set of continuous functions with zero topological entropy

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