文献类型：期刊文献

英文题名：Furstenberg Family and Chaos for Time-Varying Discrete Dynamical Systems

作者：Li, Risong[1];Li, Yongjiang[1];Lu, Tianxiu[2];Zhao, Jiazheng[2,3];Su, Jing[1]

机构：[1]Guangdong Ocean Univ, Sch Math & Comp Sci, Zhanjiang 524025, Peoples R China;[2]Sichuan Univ Sci & Engn, Coll Math & Stat, Zigong 643000, Peoples R China;[3]South Sichuan Appl Math Res Ctr, Zigong 643000, Peoples R China

年份：2024

卷号：26

期号：8

外文期刊名：ENTROPY

收录：SCI-EXPANDED(收录号：WOS:001306958000001)、、Scopus(收录号：2-s2.0-85202552798)、WOS

基金：This work was supported by the Natural Science Foundation of Sichuan Province (No. 2024NSFSC1406), the Opening Project of Artificial Intelligence Key Laboratory of Sichuan Province (No. 2018RZJ03), the Key Scientific and Technological Research Project of Science and Technology Department of Zhanjiang City (No. 2010C3112005), and the Scientific Research Project of SUSE (No. 2024RC08).

语种：英文

外文关键词：Furstenberg family; scrambled pair; scrambled set; generically G-scrambled time-varying discrete dynamical system

外文摘要：Assume that (Y, rho) is a nontrivial complete metric space, and that (Y,g(1,infinity)) is a time-varying discrete dynamical system (T-VDDS), which is given by sequences (gl)(l=1)(infinity) of continuous selfmaps g(l): Y -> Y. In this paper, for a given Furstenberg family G and a given T-VDDS (Y,g(1,infinity)), G-scrambled pairs of points of the system (Y,g(1,infinity)) (which contains the well-known scrambled pairs) are provided. Some properties of the set of G-scrambled pairs of a given T-VDDS (Y,g(1,infinity)) are studied. Moreover, the generically G-chaotic T-VDDS and the generically strongly G-chaotic T-VDDS are defined. A sufficient condition for a given T-VDDS to be generically strongly G-chaotic is also presented.