Reiterative Distributional Chaos in Non-autonomous Discrete Systems

• Yin, Zongbin ^[1] ; Xiang, Qiaomin ^[2] ; Wu, Xinxing ^[3]
  1. [1] Guangdong Polytechnic Normal University

     Guangdong Polytechnic Normal University

     China

     
  2. [2] Foshan University

     Foshan University

     China

     
  3. [3] Southwest Petroleum University

     Southwest Petroleum University

     China

     

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• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 20, Nº 3, 2021
• Idioma: inglés
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• Resumen

  • In this paper, several types of reiterative distributional chaos are concerned in discrete dynamical systems. Some implications between distributional chaos and reiterative distributional chaos are obtained. It is further shown that an equicontinuous non-autonomous system (X,f1,∞), where f1,∞={fi}i≥1 is a sequence of self-maps of a metric space X, exhibits reiterative distributional chaos of type i (i∈{1,1+,2,212,212−}) if and only if its kth iteration f[k]1,∞ exhibits reiterative distributional chaos of type i for any k≥2.