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Mixing invariant extremal distributional chaos

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Publication:325267
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DOI10.3934/dcds.2016082zbMath1418.37024OpenAlexW2509378926MaRDI QIDQ325267

Xiang Wang, Lidong Wang, Heng Liu, Feng Chun Lei

Publication date: 18 October 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2016082


zbMATH Keywords

scrambled setdistributional chaos


Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Symbolic dynamics (37B10)




Cites Work

  • Unnamed Item
  • A chaotic function with a distributively scrambled set of full Lebesgue measure
  • A note on the map with the whole space being a scrambled set
  • Dense invariant open distributionally scrambled sets and closed distributionally scrambled sets
  • Homeomorphisms with the whole compacta being scrambled sets
  • Invariant scrambled sets and maximal distributional chaos
  • On various definitions of shadowing with average error in tracing
  • Distributional chaos revisited
  • Invariant scrambled sets and distributional chaos
  • There are no chaotic mappings with residual scrambled sets
  • Period Three Implies Chaos
  • Measures of Chaos and a Spectral Decomposition of Dynamical Systems on the Interval
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