文献类型：期刊文献

英文题名：Some Sufficient Conditions Under Which a Non-Autonomous Discrete System or Semi-Flow is Sensitive

作者：Li, Risong[1,3]; Wang, Hongqing[1]; Lu, Tianxiu[2,4]; Li, YongJiang[1]; Quan, Weizhen[5]

机构：[1] School of Mathematics and Computer Science, Guangdong Ocean University, Zhanjiang, 524025, China; [2] College of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong, Sichuan, 643000, China; [3] Bridge Non-destruction Detecting and Engineering Computing Key Laboratory of Sichuan Province, Zigong, Sichuan, 643000, China; [4] Artificial Intelligence Key Laboratory of Sichuan Province, Key Laboratory of Higher Education of Sichuan Province for Enterprise Informationalization and Internet of Things, Zigong, Sichuan, 643000, China; [5] Department of Mathematics, Zhanjiang Preschool Education College, Zhanjiang, 524037, China

年份：2022

外文期刊名：SSRN

收录：EI(收录号：20220128338)

语种：英文

外文摘要：In this paper we are concerned withsensitivity for non-autonomous discrete systems and semi-flows. Somesufficient conditions of sensitivity for non-autonomous discretesystems and semi-flows are established, where it is not requiredthat maps and semi-flows are continuous or measure-preserving, andthat spaces are compact. In particular, it is shown that if anon-autonomous discrete system (F1,∞, G) (resp. a semi-flow F) on a nontrivial metric space (G,p) satisfies one of thefollowing two conditions:(1) d(NF1,∞(V,V)) + d(NF1,∞(U,V)) > 1 (resp. d(NF(V,V) + d(NF(U,V)) > 1) for any open sets U,V ? G with U, V ≠ ?; (2) [[EQUATION]] for any open sets U,V ? G with U, V ≠ ?,then it is ergodically sensitive, which means that it is sensitive. Our results improve and extend the exiting results. ? 2022, The Authors. All rights reserved.