拟移位映射是符号空间上一类特殊的混沌映射,被广泛关注。本文证明:拟移位映射和移位映射拓扑共轭,从而揭示出拟移位映射是移位映射的一个重要的拓扑共轭系统。同时构造了一类拓扑熵为log1.618的符号动力系统,且该系统是在Devaney意义下混沌的。另外,得到了一类以整个符号空间为极小集的非混沌动力系统。

Model shift maps is a class of special chaotic maps on symbolic space and received much attention.In this paper,we proved that on one-sided symbolic space, model shift map is topologically conjugate with the traditional shift map.Also we found a kind of symbolic dynamical system with topological entropy log1.618,and it's chaos in the sense of Devaney.At last,we found a special map with the whole symbolic space as its minimal set and which is not chaos.