Application of multistage homotopy-perturbation method in hybrid synchronization of chaotic systems
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS（2010）
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.
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Key words
accurate approximate solution,standard hpm,chaotic system,chen system,multistage method,hybrid synchronization,approximate analytical solution,lorenz system,multistage hpm,multistage homotopy-perturbation method,active control,runge kutta method,analytic solution,homotopy perturbation method
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