Spatiotemporal chaos synchronization of an uncertain network based on sliding mode control

doi:10.1088/1674-1056/21/10/100507

Abstract The sliding mode control method is used to study spatiotemporal chaos synchronization of an uncertain network. The method is extended from synchronization between two chaotic systems to the synchronization of complex network composed of N spatiotemporal chaotic systems. The sliding surface of the network and the control input are designed. Furthermore, the effectiveness of the method is analysed based on the stability theory. The Burgers equation with spatiotemporal chaos behavior is taken as an example to simulate the experiment. It is found that the synchronization performance of the network is very stable.

Keywords: spatiotemporal chaos synchronization complex network sliding mode control Lyapunov theorem

Received: 22 February 2012
Revised: 01 March 2012
Accepted manuscript online:

PACS:	05.45.Xt	(Synchronization; coupled oscillators)
	05.45.Pq	(Numerical simulations of chaotic systems)

Fund: Project supported by the Natural Science Foundation of Liaoning Province, China (Grant No. 20082147) and the Innovative Team Program of Liaoning Educational Committee, China (Grant No. 2008T108).

Corresponding Authors: Lü Ling
E-mail: luling1960@yahoo.com.cn

Cite this article:

Lü Ling (吕翎), Yu Miao (于淼), Wei Lin-Ling (韦琳玲) , Zhang Meng(张檬), Li Yu-Shan (李雨珊) Spatiotemporal chaos synchronization of an uncertain network based on sliding mode control 2012 Chin. Phys. B 21 100507

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Spatiotemporal chaos synchronization of an uncertain network based on sliding mode control

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