Chaos and entropy for circle maps

DOI10.3836/tjm/1244208864zbMath1028.37027OpenAlexW2082878983MaRDI QIDQ1812498

Megumi Miyazawa

Publication date: 13 January 2004

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1244208864

zbMATH Keywords

circle maps\(\omega\)-chaoschaos in the sense of Devaneypositive entropy

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items

On two notions of topological entropy for noncompact spaces ⋮ On entropy of graph maps that give hereditarily indecomposable inverse limits ⋮ Total variation of a curve under chaos on the real line and on a finite graph ⋮ Limit sets, attractors and chaos ⋮ Relations between distributional, Li--Yorke and \(\omega\) chaos ⋮ Exact Devaney chaos and entropy ⋮ Conley--Morse Databases for the Angular Dynamics of Newton's Method on the Plane ⋮ On the notion of random chaos

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