Asymptotical p-moment stability of stochastic impulsive differential system and its application to chaos synchronization

doi:10.1088/1674-1056/19/3/030512

Abstract In this paper, the asymptotical p-moment stability of stochastic impulsive differential equations is studied and a comparison theory to ensure the asymptotical p-moment stability of the trivial solution is established, which is important for studying the impulsive control and synchronization in stochastic systems. As an application of this theory, we study the problem of chaos synchronization in the Chen system excited by parameter white-noise excitation, by using the impulsive method. Numerical simulations verify the feasibility of this method.

Keywords: p-moment stability impulsive stochastic differential equations chaos synchronization

Received: 15 December 2008
Revised: 06 July 2009
Accepted manuscript online:

PACS:	05.45.Xt	(Synchronization; coupled oscillators)
	05.45.Pq	(Numerical simulations of chaotic systems)
	05.45.Gg	(Control of chaos, applications of chaos)
	02.50.Ey	(Stochastic processes)
	05.40.Ca	(Noise)

Fund: Project supported by the National Natural Science Foundation of China (Grant No.~10872165).

Cite this article:

Niu Yu-Jun(牛玉俊), Xu Wei(徐伟), and Lu Zhao-Yang(陆朝阳) Asymptotical p-moment stability of stochastic impulsive differential system and its application to chaos synchronization 2010 Chin. Phys. B 19 030512

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Asymptotical p-moment stability of stochastic impulsive differential system and its application to chaos synchronization

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