Impulsive generalized synchronization of chaotic system

doi:10.1088/1009-1963/16/7/018

Abstract

Abstract In this paper, with a given manifold $y= H(x)$, we have constructed a response system for a continuous-time chaotic system as a drive system, and used impulsive control theory to demonstrate theoretically that this response system can achieve impulsive generalized synchronization (GS) with the drive system. Our theoretical result is supported by numerical examples.

Keywords: synchronization manifold impulsive generalized synchronization impulsive control impulsive differential equation

Received: 04 October 2006
Revised: 05 February 2007
Accepted manuscript online:

PACS:	05.45.Xt	(Synchronization; coupled oscillators)
	05.45.Gg	(Control of chaos, applications of chaos)

Fund: Project supported by the National Natural Science Foundation of China (Grant No 10372054).

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Zhang Rong(张荣), Xu Zhen-Yuan (徐振源), and He Xue-Ming(何雪明) Impulsive generalized synchronization of chaotic system 2007 Chinese Physics 16 1912

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