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

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.