文献类型：期刊文献

英文题名：The Topological Entropy of Cyclic Permutation Maps and Some Chaotic Properties on Their MPE sets

作者：Li, Risong[1,2];Lu, Tianxiu[3,4]

机构：[1]Guangdong Ocean Univ, Sch Math & Comp Sci, Zhanjiang 524025, Peoples R China;[2]Bridge Nondestruct Detecting & Engn Comp Key Lab, Zigong 643000, Peoples R China;[3]Sichuan Univ Sci & Engn, Coll Math & Stat, Zigong 643000, Peoples R China;[4]Artificial Intelligence Key Lab Sichuan Prov, Zigong 643000, Peoples R China

年份：2020

卷号：2020

外文期刊名：COMPLEXITY

收录：SCI-EXPANDED(收录号：WOS:000581695700001)、、EI(收录号：20204409411900)、Scopus(收录号：2-s2.0-85093938119)、WOS

基金：This work was supported by the National Natural Science Foundation of China (no. 11501391), Opening Project of Artificial Intelligence Key Laboratory of Sichuan Province (2018RZJ03), Opening Project of Bridge Non-destruction Detecting and Engineering Computing Key Laboratory of Sichuan Province (2018QZJ03), and Scientific Research Project of Sichuan University of Science and Engineering (2020RC24).

语种：英文

外文关键词：Entropy - Topology

外文摘要：In this paper, we study some chaotic properties of s-dimensional dynamical system of the form Psi (a(1), a(2),..., a(s)) = (g(s) (a(s)), g(1)(a(1)),..., g(s-1)(a(s-1))), where a(k) is an element of H-k for any k is an element of{1, 2,..., s}, s >= 2 is an integer, and H-k is a compact subinterval of the real line R = (-infinity, +infinity) for any k is an element of{1, 2,..., s}. Particularly, a necessary and sufficient condition for a cyclic permutation map Psi(a(1), a(2),..., a(s)) = (g(s)(a(s)), g(1)(a(1)),..., g(s-1)(a(s-1))) to be LY-chaotic or h-chaotic or RT-chaotic or D-chaotic is obtained. Moreover, the LY-chaoticity, h-chaoticity, RT-chaoticity, and D-chaoticity of such a cyclic permutation map is explored. Also, we proved that the topological entropy h(Psi) of such a cyclic permutation map is the same as the topological entropy of each of the following maps: g(j) degrees g(j-1) degrees center dot center dot center dot degrees g(1)l degrees g(s) degrees... g(s-1) degrees center dot center dot center dot degrees g(j+1), if j = 1,..., s - 1 and g(s) degrees g(s-1) degrees center dot center dot center dot degrees g(1), and that Psi is sensitive if and only if at least one of the coordinates maps of Psi(s) is sensitive.