双边符号空间上的一类拟移位映射

A class of model shift map and its chaos

给出了双边符号空间上的拟移位映射,证明它与通常的移位映射σ拓扑共轭,并且用它刻划了平面上含有Smale马蹄的映射.

In this paper,a new model shift map was defined in bilateral symbol space.The topological conjugacy between model shift maps and shift maps was proved,showing that the model shift maps can be used to describe the Smale Horseshoe maps on plane.