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Abstract
In this paper, the multistage homotopy-perturbation method (HPM) is applied to realize the synchronization between the Lorenz system and the Chen system using active control. The multistage HPM is only a simple modification of the standard HPM, in which it is treated as an algorithm in a sequence of intervals for finding accurate approximate solutions. The simulation results reveal that the multistage method is an effective tool to give the approximate analytical solutions for chaotic systems.
Acknowledgements
The authors would like to thank the anonymous reviewers for the constructive comments and suggestions which have greatly improved this paper. The work is supported by the National Nature Science Foundation of China (Grant No. 10771012), the Research Fund for the Doctoral Program of Higher Education (No. 20070004030) and the Scholarship Enhancement Grant from City University of Hong Kong.