Some properties of circle maps with zero topological entropy

DOI10.1088/1361-6544/abd7c4zbMath1469.37032arXiv2009.00925OpenAlexW3082323916MaRDI QIDQ4990882

Yi Ni Yang

Publication date: 1 June 2021

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.00925

zbMATH Keywords

circle mapsmaximal pattern entropynon-separable pairtopological null

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Topological entropy (37B40)

Related Items (3)

Supremum topological sequence entropy of circle maps ⋮ Topological sequence entropy and topological dynamics of tree maps ⋮ Graph maps with zero topological entropy and sequence entropy pairs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Recent development of chaos theory in topological dynamics
• Chaos and entropy for interval maps
• Dynamical systems on one-dimensional branched manifolds. I
• Combinatorial lemmas and applications to dynamics
• Continuous maps of the circle without periodic points
• Horseshoes, entropy and periods for graph maps
• A local variational relation and applications
• Independence in topological and \(C^*\)-dynamics
• Chaos on the Interval
• Tame systems and scrambled pairs under an Abelian group action
• Local entropy theory
• Chaotic Functions with Zero Topological Entropy
• Positive Sequence Topological Entropy Characterizes Chaotic Maps
• Period Three Implies Chaos
• A disjointness theorem involving topological entropy
• Null systems and sequence entropy pairs
• On dynamics of graph maps with zero topological entropy
• Quasi-Factors of Zero Entropy Systems
• For graph maps, one scrambled pair implies Li-Yorke chaos
• The set of sequence entropies for a given space

This page was built for publication: Some properties of circle maps with zero topological entropy