文献类型：期刊文献

英文题名：Some stronger forms of topological transitivity and sensitivity for a sequence of uniformly convergent continuous maps

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

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

年份：2021

卷号：494

期号：1

外文期刊名：JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

收录：SCI-EXPANDED(收录号：WOS:000577832400003)、、Scopus(收录号：2-s2.0-85089092084)、WOS

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

语种：英文

外文关键词：Furstenberg family; Mixing; Topologically transitive; Ergodic; Sensitivity

外文摘要：Let (H, d) be a metric space, F be a Furstenberg family, and (gm)(m is an element of Z+) be a sequence of continuous map on H, which converges uniformly to a map g on H. In this paper, under the condition lim(m ->infinity) d(infinity)(g(m)(m), g(m)) = 0, a necessary and sufficient condition for g to be F-mixing is established. Moreover, let T C Z(+) be an infinite set and lim(m is an element of T:m ->infinity) d(infinity)(g(m)(m), g(m)) = 0. Then, some necessary and sufficient conditions, or sufficient conditions, for g to be some stronger forms of topological transitivity, sensitivity, ergodic, or mixing are obtained. (C) 2020 Elsevier Inc. All rights reserved.