The synchronization analysis of four symbolic complex dynamical systems will be discussed carefully in this paper. Grey system theory is mainly being used to study data sequences that are generated by 4-letter chaotic dynamical system, and the usual prediction accuracy has exceeded 90%. In this place we have found a generating rule that may at least realize chaotic synchronization in short and medium terms. Considering the current study of DNA base sequences A-G-C-T and the symbolic

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... ic of four symbolic dynamical systems, which are formally in good corresponding relation. In this paper we have offered an effective research means to approach problems of this kind.