文献类型：期刊文献

英文题名：The Ergodicity and Sensitivity of Nonautonomous Discrete Dynamical Systems

作者：Li, Risong[1];Lu, Tianxiu[2];Wang, Hongqing[1];Zhou, Jie[2];Ding, Xianfeng[3];Li, Yongjiang[1]

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]Southwest Petr Univ, Sch Sci, Chengdu 610500, Peoples R China

年份：2023

卷号：11

期号：6

外文期刊名：MATHEMATICS

收录：SCI-EXPANDED(收录号：WOS:000960521600001)、、Scopus(收录号：2-s2.0-85151493979)、WOS

基金：This work was supported by the Natural Science Foundation of Sichuan Province (No. 2023NSFSC0070), Cooperative Education Project of the Ministry of Education (No. 220605115023220), the Scientific Research Project of Sichuan University of Science and Engineering (No. 2020RC24), the Ministry of Education Science and Technology Development Center (No. 2020QT13).

语种：英文

外文关键词：nonautonomous discrete dynamical systems; ergodicity; sensitivity

外文摘要：Let (E, h(1,infinity))be a nonautonomous discrete dynamical system (briefly, N.D.D.S.) that is defined by a sequence (h(j))(j =1)(infinity) of continuous maps hj : E -> E over a nontrivial metric space ( E, d). This paper defines and discusses some forms of ergodicity and sensitivity for the system ( E, h(1,infinity)) by upper density, lower density, density, and a sequence of positive integers. Under some conditions, if the rate of convergence at which (h(j))(j =1)(infinity) converges to the limit map h is "fast enough" with respect to a sequence of positive integers with a density of one, it is shown that several sensitivity properties for the N.D.D.S. (h(1,infinity)) are the same as those properties of the system ( E, h). Some sufficient conditions for the N.D.D.S. ( E, h(1,infinity)) to have stronger sensitivity properties are also presented. The conditions in our results are less restrictive than those in some existing works, and the conclusions of all the theorems in this paper improve upon those of previous studies. Thus, these results are extensions of the existing ones.