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Discrete Dynamics in Nature and Society
Volume 2015, Article ID 740721, 11 pages
Research Article

An Alternate Iterative Differential Evolution Algorithm for Parameter Identification of Chaotic Systems

1Institute of Systems Engineering, Tianjin University, Tianjin 300072, China
2School of Traffic & Transportation, Lanzhou Jiaotong University, Lanzhou, Gansu 730070, China

Received 16 April 2015; Accepted 4 August 2015

Academic Editor: Daniele Fournier-Prunaret

Copyright © 2015 Wanli Xiang 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.


Parameter estimation of chaotic systems plays a key role for control and synchronization of chaotic systems. At first, the parameter estimation of chaotic systems is mathematically formulated as a global continuous optimization problem. Then through integrating two differential mutation strategies, an improved greedy selection mechanism and a population diversity balance scheme, an alternate iterative differential algorithm, called AIDE, is presented to solve the problem in this paper. Subsequently, experiments are tested on a set of cases of parameter estimation of chaotic systems and the results show that AIDE is better than or at least equal to DE/rand/1/bin, DE/best/1/bin, and other four well-known algorithms in all cases.