Synchronization of spatiotemporal chaos in complex networks via backstepping

doi:10.1088/1674-1056/21/3/030506

中国物理B ›› 2012, Vol. 21 ›› Issue (3): 30506-030506.doi: 10.1088/1674-1056/21/3/030506

柴元¹,吕翎²,陈立群¹ ³

收稿日期:2011-07-12 修回日期:2011-10-09 出版日期:2012-02-15 发布日期:2012-02-15
通讯作者: 陈立群,lqchen@staff.shu.edu.cn E-mail:lqchen@staff.shu.edu.cn

Synchronization of spatiotemporal chaos in complex networks via backstepping

Chai Yuan(柴元)^a), Lü Ling(吕翎)^b), and Chen Li-Qun(陈立群)^a)c)†

a. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;
b. College of Physics and Electronic Technology, Liaoning Normal University, Dalian 116029, China;
c. Department of Mechanics, Shanghai University, Shanghai 200444, China

Received:2011-07-12 Revised:2011-10-09 Online:2012-02-15 Published:2012-02-15
Contact: Chen Li-Qun,lqchen@staff.shu.edu.cn E-mail:lqchen@staff.shu.edu.cn
Supported by:
Project supported by the National Outstanding Young Scientists Foundation of China (Grant No. 10725209), the National Natural Science Foundation of China (Grant Nos. 90816001 and 10902064), the Shanghai Subject Chief Scientist Project, China (Grant No. 09XD1401700), the Shanghai Leading Talent Program and the Shanghai Leading Academic Discipline Project, China (Grant No. S30106), the Program for Changjiang Scholars and Innovative Research Team in University, China (Grant No. IRT0844), 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

Abstract: A backstepping approach is proposed for the synchronization of chain networks of multi-spatiotemporal chaotic systems with topologically equivalent structures. The synchronization of multi-spatiotemporal chaotic systems is implemented by adding the control only to a terminal node, and the controller is designed via a corresponding update law. The control law is applied to spatiotemporal Gray-Scott systems. Numerical results demonstrate the effectiveness and the feasibility of the proposed approach.

Key words: spatiotemporal chaos, backstepping design, Lyapunov function, chain complex networks

中图分类号: (Synchronization; coupled oscillators)

05.45.Xt

05.45.Pq (Numerical simulations of chaotic systems)

柴元, 吕翎, 陈立群. [J]. 中国物理B, 2012, 21(3): 30506-030506.

Chai Yuan(柴元), LŰ Ling(吕翎), and Chen Li-Qun(陈立群) . Synchronization of spatiotemporal chaos in complex networks via backstepping[J]. Chin. Phys. B, 2012, 21(3): 30506-030506.

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Synchronization of spatiotemporal chaos in complex networks via backstepping

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