文献类型：期刊文献

英文题名：Distributional Chaos and Sensitivity for a Class of Cyclic Permutation Maps

作者：Zhao, Yu[1];Anwar, Waseem[2];Li, Risong[1,3];Lu, Tianxiu[4];Mo, Zhiwen[2]

机构：[1]Guangdong Ocean Univ, Sch Math & Comp Sci, Zhanjiang 524025, Peoples R China;[2]Sichuan Normal Univ, Dept Math, Chengdu 610017, Peoples R China;[3]Bridge Nondestruct Detecting & Engn Comp Key Lab S, ArtificialIntelligence Key Lab, Zigong 643000, Peoples R China;[4]Sichuan Univ Sci & Engn, Coll Math & Stat, Zigong 643000, Peoples R China

年份：2023

卷号：11

期号：15

外文期刊名：MATHEMATICS

收录：SCI-EXPANDED(收录号：WOS:001046804000001)、、Scopus(收录号：2-s2.0-85167563621)、WOS

基金：This work was supported by the NSF of Guangdong Province (No. 2015A030313615), the NSF of Sichuan Province (No. 2023NSFSC0070), the Scientific Research Project of Sichuan University of Science and Engineering (No. 2020RC24), the Opening Project of Bridge Non-destruction Detecting and Engineering Computing Key Laboratory of Sichuan Province (No. 2018QZJ03), and the Opening Project of Artificial Intelligence Key Laboratory of Sichuan Province (No. 2018RZJ03).

语种：英文

外文关键词：cyclic permutation map; sensitivity; chaos

外文摘要：Several chaotic properties of cyclic permutation maps are considered. Cyclic permutation maps refer to p-dimensional dynamical systems of the form phi (b(1), b(2), . . . , b(p)) = (u(p)(b(p)), u(1)(b(1)), . . . , u(p-1)(b(p-1))), where b(j) is an element of H-j (j is an element of {1,2, . . . , p}), p >= 2 is an integer, and H-j (j is an element of {1, 2, . . . , p}) are compact subintervals of the real line R = (-infinity, +infinity ). u(j) : H-j -> Hj+1(j = 1, 2, ... , p - 1) and u(p) : H-p -> H-1 are continuous maps. Necessary and sufficient conditions for a class of cyclic permutation maps to have Li-Yorke chaos, distributional chaos in a sequence, distributional chaos, or Li-Yorke sensitivity are given. These results extend the existing ones.