0-1符号空间上的*积子移位  

* Product Subshifts on 0-1 Symbol Space

作　　者：范钦杰[1] 王宏仁[1] 杜弈秋[1] 

机构地区：[1]吉林师范大学数学学院,吉林四平136000

出　　处：《吉林大学学报（理学版）》2008年第6期1021-1024,共4页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:10771084);吉林师范大学科研启动基金

摘　　要：参照Feigenbaum搓揉子移位的定义,给出了*积子移位的概念,并通过探讨*积子移位与代换子移位的关系,利用代换子移位的已有结果证明了每个*积子移位都是极小的、惟一遍历的以及在Li-Yorke意义下非混沌且具有零拓扑熵,由此推出每个Feigenbaum搓揉子移位也具有上述性质.Following Feigenbaum＇ s kneading subshifts, we introduced the notion of ＊ product subshift under the wider sense. By investigating the relationship between ＊ product subshift and substitution subshift, and by using the known results on substitution subshifts, we proved that every ＊ product subshift is minimal,uniquely ergodic, non-chaotic in the sense of Li and Yorke and has zero topological entropy, from which we deduced that every Feigenbaum＇ s kneading subshift also exhibits the above properties.

关 键 词：FEIGENBAUM映射 ＊积子移位 惟一遍历性 Li—Yorke混沌 拓扑熵 

分 类 号：O189.1[理学—数学]