一类描述五分Cantor集的拟移位映射  

A class of model shift map to describe 5-part Cantor set

作　　者：徐园芬[1] 戴振祥[2] 

机构地区：[1]浙江万里学院基础学院,浙江宁波315101 [2]宁波教育学院信息与艺术学院,浙江宁波315010

出　　处：《浙江师范大学学报（自然科学版）》2010年第4期387-391,共5页Journal of Zhejiang Normal University:Natural Sciences

基　　金：宁波市自然科学基金资助项目(2008A610029)

摘　　要：在单边符号空间上构造了一类拟移位映射,证明了它与通常的移位映射σ拓扑半共轭,得到这类映射具有连续性和在Li-Yorke意义下的混沌性,并用拟移位映射描述了五分Cantor集的混沌映射.In the one-sided symbolic space,it was constructed a class of model-shift map,and it was proved that the model-shift map was topologically semi-conjugate with the usual shift map σ,then showed that it was of Li-Yorke chaotic,the 5-part Cantor set was described by the model-shift map.

关 键 词：单边符号空间 拟移位映射 五分Cantor集 LI-YORKE混沌 

分 类 号：O189.11[理学—数学]