Sensitivity and regionally proximal relation in minimal systems

DOI10.1007/s11425-008-0012-4zbMath1155.37305OpenAlexW1606067976MaRDI QIDQ943451

Song Shao, Xiang Dong Ye, Rui-feng Zhang

Publication date: 9 September 2008

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-008-0012-4

zbMATH Keywords

sensitivityminimalityregionally proximal relation\(n\)-sensitivity

Mathematics Subject Classification ID

Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

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Broken family sensitivity in transitive systems, Dynamics on sensitive and equicontinuous functions, On sensitive sets and regionally proximal sets of group actions, Stronger version sensitivity, almost finite to one extension and maximal pattern entropy, Relativization of sensitivity in minimal systems, Asymptotically almost periodic points and sensitivity of continuous maps, Measurable \(n\)-sensitivity and maximal pattern entropy, The Mean Sensitivity and Mean Equicontinuity in Uniform Spaces, Measure-theoretical sensitivity and equicontinuity, A note on stronger forms of sensitivity for dynamical systems, Auslander-Yorke type dichotomy theorems for stronger versions of $r$-sensitivity, Stronger forms of sensitivity for measure-preserving maps and semiflows on probability spaces, Chaos and entropy for interval maps, A note on stronger forms of sensitivity for inverse limit dynamical systems, On local metric pressure of dynamical systems, Local entropy theory, Stronger versions of sensitivity for minimal group actions, The topological sensitivity with respect to Furstenberg families, On variants of n-sensitivity in semiflows, Recent development of chaos theory in topological dynamics

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