非自治离散系统中的有界复杂性及等度连续性  

Bounded Complexity and Equicontinuity of Nonautonomous Discrete Dynamical Systems

作　　者：张瑞丰[1] 朱姜慧 ZHANG Ruifeng;ZHU Jianghui(School of Mathematics,Hefei University of Technology,Hefei 230009,China)

机构地区：[1]合肥工业大学数学学院,合肥230601

出　　处：《大学数学》2022年第5期1-5,共5页College Mathematics

基　　金：国家自然科学基金(11871188)。

摘　　要：在非自治离散系统(X,Φ)中定义两种度量d^(Φ)_(n),^d^(Φ)_(n),在这两种度量下定义系统的拓扑复杂性,并证明系统关于{dΦn}和{^dΦn}具有有界复杂性分别对应于其是等度连续和平均意义下等度连续的.For nonautonomous discrete dynamical system(X,Φ),we define two kind of metrics i.e.,{dΦn}and{Φn}.And we introduce the notion of bounded topological complexity with respect to{dΦn}(resp.{Φn}).It is shown that(X,Φ)has bounded topological complexity with respect to{dΦn}(resp.{Φn})if and only if it is equicontinuity(resp.equicontinuity in the mean).

关 键 词：非自治离散系统 有界拓扑复杂性 等度连续 

分 类 号：O192[理学—数学]