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Mathematical Problems in Engineering
Volume 2013, Article ID 685725, 7 pages
Research Article

Synchronization Analysis of Four Symbolic Complex Dynamical Systems for Future Biology Research

1Department of Mathematics and Physics, North China Electric Power University, Baoding, Hebei 071003, China
2State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources, NCEPU, Beijing 102206, China
3Hebei Electric Power Research Institute, Shijiazhuang 050022, China

Received 22 June 2013; Accepted 2 July 2013

Academic Editor: Dumitru Baleanu

Copyright © 2013 Yagang Zhang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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 characteristic 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.