The complexity of a minimal sub-shift on symbolic spaces

DOI10.1016/j.jmaa.2005.12.069zbMath1086.37006OpenAlexW1994874987MaRDI QIDQ820005

Zhizhi Chen, Gongfu Liao, Lidong Wang

Publication date: 6 April 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.12.069

zbMATH Keywords

chaosergodicitytopological entropyuniformly recurrent pointsub-shifttopologically weakly mixing

Mathematics Subject Classification ID

Symbolic dynamics (37B10) 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 (6)

Distributional chaos in a sequence ⋮ Martelli's chaos in inverse limit dynamical systems and hyperspace dynamical systems ⋮ Equicontinuity of dendrite maps ⋮ Distributional chaos revisited ⋮ Shift spaces, \(\omega \)-chaos and specification property ⋮ Recurrence properties for linear dynamical systems: an approach via invariant measures

Cites Work

• Minimal subshifts which display Schweizer-Smítal chaos and have zero topological entropy
• Defining Chaos
• Recurrent point set of the shift on Σ and strong chaos
• Devaney's chaos or 2-scattering implies Li-Yorke's chaos
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