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.
出处
《吉林大学学报（理学版）》
CAS
CSCD
北大核心
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
作者简介
范钦杰（1956～），女，汉族，博士，教授，博士生导师，从事拓扑动力系统的研究，E-mail：fanqinjie@sina.com.cn
