文献类型：期刊文献

英文题名：Stronger Forms of Transitivity and Sensitivity for Nonautonomous Discrete Dynamical Systems and Furstenberg Families

作者：Li, Risong[1];Zhao, Yu[1];Wang, Hongqing[1];Liang, Haihua[1]

机构：[1]Guangdong Ocean Univ, Sch Math & Comp Sci, Zhanjiang 524025, Peoples R China

年份：2020

卷号：26

期号：1

起止页码：109

外文期刊名：JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS

收录：SCI-EXPANDED(收录号：WOS:000511704300005)、、EI(收录号：20191106628032)、Scopus(收录号：2-s2.0-85062798954)、WOS

基金：This research was supported 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) and the Key Scientific and Technological Research Project of Science and Technology Department of Zhanjiang City (Grant 2010C3112005).

语种：英文

外文关键词：Furstenberg family; Nonautonomous discrete dynamical systems; F-transiti,e; F-mixing; F-sensiti,e; F-collecti,ely sensiti,e; F-synchronous sensiti,e; (F-1 . F-2)-sensiti,e; F-multi-sensitive

外文摘要：Let (Y, d) be a nontrivial metric space and (Y, g(1,infinity)) be a nonautonomous discrete dynamical system given by sequences (gl)l=1 infinity and F2 be given shift-invariant Furstenberg families. In this paper, we study stronger forms of transitivity and sensitivity for nonautonomous discrete dynamical systems by using Furstenberg family. In particular, we discuss the F-transitivity, F-mixing, F-sensitivity, F-collective sensitivity, F-synchronous sensitivity, (F-1, F-2)-sensitivity and F-multi-sensitivity for the system (Y, g(1,infinity)) and show that under the conditions that gj is semi-open and satisfies g(j) o g = g o gj for each j. {1, 2, ...} and that (, 1,) is -transitive if and only if so is (, ). Yg infinity Yg(, 1,) is -mixing if and only if so is (, ). Yg infinity Yg(, 1,) is -sensitive if and only if so is (, ). Yg infinity Yg(, 1,) is -sensitive if and only if so is (, ). Yg infinity Yg(, 1,) is -collectively sensitive if and only if so is (, ). Yg infinity Yg(, 1,) is -synchronous sensitive if and only if so is (, ). Yg infinity Yg(, 1,) is -multi-sensitive if and only if so is (, ). The above results extend the existing ones.