A characterization of topologically transitive attributes for a class of dynamical systems

DOI10.1007/S11401-012-0709-0zbMath1280.37010OpenAlexW2021274220MaRDI QIDQ692761

Jian Dong Yin, Zuo Ling Zhou

Publication date: 6 December 2012

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-012-0709-0

zbMATH Keywords

weakly almost periodic pointmeasure centerchaotic settopologically transitive attribute

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (2)

Chaos in a topologically transitive semi-flow ⋮ A note on quasi-weakly almost periodic point

Cites Work

• Weakly almost periodic point and ergodic measure
• Level of the orbit's topological structure and topological semi-conjugacy
• An explicit scattering, non-weakly mixing example and weak disjointness
• Topological complexity, return times and weak disjointness
• Devaney's chaos or 2-scattering implies Li-Yorke's chaos
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