拓扑序列复杂性和混合  

TOPOLOGICAL SEQUENCE COMPLEXITY AND MIXING

作　　者：杨润生[1] 

机构地区：[1]南京师范大学数学与计算机科学学院,南京210097

出　　处：《数学年刊（A辑）》2004年第6期809-816,共8页Chinese Annals of Mathematics

基　　金：国家自然科学基金(No.10271057)江苏省自然科学基金(No.BK2001108)资助的项目.

摘　　要：本文给出动力系统的拓扑序列复杂函数和族F-扩散的概念,利用序列复杂函数给出一致刚性、等度连续性和F-混合的特征,并讨论了族F-混合与一致刚性、相关族扩散、混沌及序列等度连续点存在性的关系.This article introduces the notions of topological sequence complexity and F-scattering with respect to a family F for a dynamical system. The author gives the characterization of uniformly rigid, equicontinuity and F-mixing by the sequence complexity function respectively and discusses the relations between F-mixing, uniformly rigid, F' -scattering with respect to some family F', chaos and the existence of sequence equicontinuous points.

关 键 词：拓扑序列复杂性 F-扩散 一致刚性 F-混合 等度连续性 

分 类 号：O189.3[理学—数学]