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

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

中国物理B ›› 2012, Vol. 21 ›› Issue (10): 100507-100507.doi: 10.1088/1674-1056/21/10/100507

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

吕翎, 于淼, 韦琳玲, 韦琳玲, 李雨珊

College of Physics and Electronic Technology, Liaoning Normal University, Dalian 116029, China

收稿日期:2012-02-22 修回日期:2012-03-01 出版日期:2012-09-01 发布日期:2012-09-01
基金资助:
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).

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

Lü Ling (吕翎), Yu Miao (于淼), Wei Lin-Ling (韦琳玲) , Zhang Meng(张檬), Li Yu-Shan (李雨珊)

College of Physics and Electronic Technology, Liaoning Normal University, Dalian 116029, China

Received:2012-02-22 Revised:2012-03-01 Online:2012-09-01 Published:2012-09-01
Contact: Lü Ling E-mail:luling1960@yahoo.com.cn
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: spatiotemporal chaos synchronization, complex network, sliding mode control, Lyapunov theorem

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.

Key words: spatiotemporal chaos synchronization, complex network, sliding mode control, Lyapunov theorem

中图分类号: (Synchronization; coupled oscillators)

05.45.Xt

05.45.Pq (Numerical simulations of chaotic systems)

吕翎, 于淼, 韦琳玲, 韦琳玲, 李雨珊. Spatiotemporal chaos synchronization of an uncertain network based on sliding mode control[J]. 中国物理B, 2012, 21(10): 100507-100507.

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[J]. Chin. Phys. B, 2012, 21(10): 100507-100507.

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

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

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