Acta mathematica scientia,Series A ›› 2015, Vol. 35 ›› Issue (3): 558-566.

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Distributional Chaos in Nonautonomous Discrete Systems

Lu Tianxiu1, Zhu Peiyong2, Wu Xinxing2   

  1. 1. Department of Mathematics, Sichuan University of Science and Engineering, Sichuan Zigong 643000;
    2. School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731
  • Received:2013-12-16 Revised:2014-06-20 Online:2015-06-25 Published:2015-06-25

Abstract:

New definition of distributional chaos in nonautonomous discrete systems is given. This paper studies the chaotic behaviour of sequences fn,∞=(fn, n+1, …), ∀nN (N is the set of natural numbers), and discusses that whether the distributional chaoticity of fn,∞ implies the distributional chaoticity of fn,∞[m] (m is a positive integer), or vice versa.

Key words: Nonautonomous discrete systems, Distributional chaos, Compound mappings

CLC Number: 

  • O415.5
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