文献类型：期刊文献

英文题名：Distributional chaos in a sequence and topologically weak mixing for nonautonomous discrete dynamical systems

作者：Zhao, Yu[1];Li, Risong[1];Wang, Hongqing[1];Liang, Haihua[1]

机构：[1]Guangdong Ocean Univ, Sch Math & Comp Sci, Zhanjiang 524025, Peoples R China

年份：2020

卷号：20

期号：1

起止页码：14

外文期刊名：JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS

收录：ESCI(收录号：WOS:000487589500002)、Scopus(收录号：2-s2.0-85073550718)、WOS

基金：This research was supported the Opening Project of Artificial Intelligence Key Laboratory of Sichuan Province (2018RZJ03) and the Opening Project of Bridge Non-destruction Detecting and Engineering Computing Key Laboratory of Sichuan Province (2018QZJ03).

语种：英文

外文关键词：Chaotic in the sense of Devaney; topologically transitive; sensitive; nonautonomous discrete dynamical systems; distributional chaos in a sequence

外文摘要：Assume that (W, g(1,infinity)) is a nonautonomous discrete dynamical system given by sequences (g(m))(m=1)(infinity) of continuous maps on the space (W, d). In this paper, it is proven that if g(1,infinity) is topologically weakly mixing and satisfies that g(1)(n) circle g(1)(m)= g(1)(n+m) for any n, m is an element of {0,1, ...}, then it is distributional chaos in a sequence. This result extends the existing one.