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The Hierarchy of Distributional Chaos

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Publication:5246666
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DOI10.1142/S0218127415500017zbMath1309.37038OpenAlexW2117892994MaRDI QIDQ5246666

Huoyun Wang, Heman Fu, Jin Cheng Xiong

Publication date: 22 April 2015

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127415500017


zbMATH Keywords

Furstenberg family\(\lambda\)-power distributional chaoswedge-shape system


Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Symbolic dynamics (37B10) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)


Related Items

Disjoint distributional chaos in Fréchet spaces ⋮ On \(\lambda\)-power distributional \(n\)-chaos ⋮ Distributional chaos and Li-Yorke chaos in metric spaces ⋮ Investigating Distributional Chaos for Operators on Fréchet Spaces



Cites Work

  • Chaos and null systems
  • On distributionally chaotic and null systems
  • Chaos via Furstenberg family couple
  • A class of Furstenberg families and their applications to chaotic dynamics
  • Furstenberg family and chaos
  • Period Three Implies Chaos
  • Measures of Chaos and a Spectral Decomposition of Dynamical Systems on the Interval
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