文献类型：期刊文献

英文题名：FURTHER DISCUSSION ON KATO'S CHAOS IN SET-VALUED DISCRETE SYSTEMS

作者：Li, Risong[1,4];Lu, Tianxiu[2];Chen, Guanrong[3];Yang, Xiaofang[2]

机构：[1]Guangdong Ocean Univ, Sch Math & Comp Sci, Zhanjiang 524025, Peoples R China;[2]Sichuan Univ Sci & Engn, Sch Math & Stat, Zigong 643000, Peoples R China;[3]City Univ Hong Kong, Dept Elect Engn, Hong Kong 999077, Peoples R China;[4]Key Lab Higher Educ Sichuan Prov Enterprise Infor, Artificial Intelligence Key Lab Sichuan Prov, Bridge Nondestruct Detecting & Engn Comp Key Lab, Zigong 643000, Peoples R China

年份：2020

卷号：10

期号：6

起止页码：2491

外文期刊名：JOURNAL OF APPLIED ANALYSIS AND COMPUTATION

收录：SCI-EXPANDED(收录号：WOS:000599517500012)、、Scopus(收录号：2-s2.0-85097246458)、WOS

基金：This work was funded by the Opening Project of Artificial Intelligence Key Laboratory of Sichuan Province (2018RZJ03), the Opening Project of Bridge Non-destruction Detecting and Engineering Computing Key Laboratory of Sichuan Province (2018QZJ03), the Opening Project of Key Laboratory of Higher Education of Sichuan Province for Enterprise Informationalization and Internet of Things (2020WZJ01), and the Scientific Research Project of Sichuan University of Science and Engineering (2020RC24).

语种：英文

外文关键词：Kato's chaos; collective accessibility; strongly accessible

外文摘要：For a compact metric space Y and a continuous map g : Y -> Y, the collective accessibility and collectively Kato chaotic of the dynamical system (Y, g) were defined. The relations between topologically weakly mixing and collective accessibility, or strong accessibility, or strongly Kato chaos were studied. Some common properties of g and 7g were given. Where (g) over bar: kappa(Y) -> kappa(Y) is defined as (g) over bar (B) = g(B) for any B is an element of kappa(Y), and kappa(Y) is the collection of all nonempty compact subsets of Y. Moreover, it is proved that g is collectively accessible (or strongly accessible) if and only if (g) over bar in w(e)-topology is collectively accessible (or strongly accessible).