单峰映射揉搓序列的特性  

Characters of the unimodal map's kneading sequence

作　　者：张爱华[1] 张华[1] 

机构地区：[1]南京邮电大学理学院,南京210046

出　　处：《南京信息工程大学学报（自然科学版）》2009年第4期373-376,共4页Journal of Nanjing University of Information Science & Technology（Natural Science Edition）

摘　　要：为了更好地解释Fe igenbaum现象,研究了单峰映射的揉搓序列,利用分析的方法证明了单峰映射揉搓序列极大性的一些性质,进而给出了一个序列作为允许揉搓序列的一个等价条件;利用单峰映射f和Tpf的揉搓序列之间的关系,给出了重正化算子Tp不动点的揉搓序列的特征.In order to explain Feigenbaum phenomenon better, this paper researches on the unimodal map＇s kneading sequence. An analytical method is used to prove some characters of this sequence＇s maximality, and give a further equivalence condition under which a sequence can be regarded as an admissible kneading sequence. Using the relationship between the unimodal map F and the kneading sequence Tp, this paper proposes the characters of the kneading sequence in terms of the fixed points of the renormalization operator Tp.

关 键 词：单峰映射 揉搓序列 允许揉搓序列 极大性 重正化算子 

分 类 号：O189.1[理学—数学]