Impulsive synchronization for class of chaotic systems

WANG Zhao-li1, LI Chuan-dong2
(1.School of Computer Science, Hangzhou Dianzi University, Hangzhou 310018, China;
2.College of Computer Science, Chongqing University, Chongqing 400030, China)

Abstract: To solve the problems of couple chaos’ system synchronization in application, a new method was presented by impulsive synchronization. Based on the impulsive theory, verified criterion for the system’s impulsive synchronization was derived easily. A sufficient condition for asymptotic stability was presented. Moreover, the equidistant impulse interval was also estimated. Some experimental results on impulsive synchronization between two Chuas circuits were presented and the effectiveness of our method was shown by computer simulation. The research results show that the proposed method is fit for the original Chua oscillators, and the corresponding synchronization conditions were easy to obtain.
Key words: synchronization of chaotic systems;impulsive control; secure communication