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中文摘要：
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．
英文摘要：
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.
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