一类描述Sierpinski(谢尔宾斯基)垫的拟移位映射

A Class of Model-shift Map to Describe Sierpinski Pad

本文构造了一类拟移位映射τ1,并证明了此移位映射与符号空间上通常的移位映射σ拓扑半共轭,进而证明了τ1是Li—Yorke混沌非Devaney意义混沌的结论,并且用τ1描述了Sierpinski(谢尔宾斯基)垫.

In this paper, we construct a class of model-shift map τ1, and prove that the model - shift map is topoh,gical semi-conjugate with the usual shift map a in symbol space, tiros showing that it is Li-Yorke chaotic and non-Devaney Devaney chaotic, and also it describe the Sierpinski pad.