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Zbl 1170.34339
Wang, Yan-Wu; Wen, Changyun; Soh, Yeng Chai; Guan, Zhi-Hong
Partial state impulsive synchronization of a class of nonlinear systems.
(English)
[J] Int. J. Bifurcation Chaos Appl. Sci. Eng. 19, No. 1, 387-393 (2009). ISSN 0218-1274

Summary: Impulsive synchronization of chaotic systems is an attractive topic and a number of interesting results have been obtained in recent years. However, all of these results on impulsive synchronization need to employ full states of the system to achieve the desired objectives. In this paper, impulsive synchronization that needs only part of system states is studied for a class of nonlinear system. Typical chaotic systems, such as Lorenz system, Chen's system, and a 4D hyperchaotic system, are taken as examples. A new scheme is proposed to select the impulsive intervals. After some theoretical analysis, simulation results show the effectiveness of the proposed synchronization scheme.
MSC 2000:
*34D05 Asymptotic stability of ODE
34A37 Differential equations with impulses
34C28 Other types of "recurrent" solutions of ODE

Keywords: impulsive synchronization; nonlinear system; chaotic system

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