文献类型：期刊文献

英文题名：Finite Chaoticity and Pairwise Sensitivity of a Strong-Mixing Measure-Preserving Semi-Flow

作者：Li, Risong[1];Pi, Jingmin[2];Li, Yongjiang[1];Lu, Tianxiu[2];Wang, Jianjun[3];Ding, Xianfeng[4]

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]Sichuan Agr Univ, Dept Math, Yaan 625014, Peoples R China;[4]Southwest Petr Univ, Sch Sci, Chengdu 610500, Peoples R China

年份：2023

卷号：12

期号：9

外文期刊名：AXIOMS

收录：SCI-EXPANDED(收录号：WOS:001071148700001)、、Scopus(收录号：2-s2.0-85172091103)、WOS

基金：Many thanks to experts.

语种：英文

外文关键词：finitely chaotic set; strong-mixing; measure-preserving semi-flow

外文摘要：Chaos is a common phenomenon in nature and social sciences. As is well known, chaos has multiple definitions, and there are both differences and connections between them. The unique properties of chaotic systems can be leveraged to address challenges in communication, security, data processing, system analysis, and control across different domains. For semi-flows, this paper introduces two important concepts corresponding to discrete dynamical systems, finitely chaotic and pairwise sensitivity. Since Tent map and its induced suspended semi-flows both have these two properties, then these two concepts on the semi-flows have extensive and important applications and meanings in information security, finance, artificial intelligence and other fields. This paper extends the vast majority of corresponding results in discrete dynamical systems to semi-flows.