Projective synchronization of spatiotemporal chaos in a weighted complex network

doi:10.1088/1674-1056/19/8/080506

中国物理B ›› 2010, Vol. 19 ›› Issue (8): 80506-080506.doi: 10.1088/1674-1056/19/8/080506

Projective synchronization of spatiotemporal chaos in a weighted complex network

吕翎¹, 柴元¹, 栾玲²

(1)College of Physics and Electronic Technology, Liaoning Normal University, Dalian 116029, China; (2)Physical Science and Technology Institute, Dalian University, Dalian 116622, China

收稿日期:2010-01-12 修回日期:2010-02-03 出版日期:2010-08-15 发布日期:2010-08-15
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).

Projective synchronization of spatiotemporal chaos in a weighted complex network

Lü Ling(吕翎)^a)†, Chai Yuan(柴元)^a), and Luan Ling(栾玲)^b)

^a College of Physics and Electronic Technology, Liaoning Normal University, Dalian 116029, China; ^b Physical Science and Technology Institute, Dalian University, Dalian 116622, China

Received:2010-01-12 Revised:2010-02-03 Online:2010-08-15 Published:2010-08-15
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： Projective synchronization of a weighted complex network is studied in which nodes are spatiotemporal chaos systems and all nodes are coupled not with the nonlinear terms of the system but through a weighted connection. The range of the linear coefficient matrix of separated configuration，when the synchronization is implemented, is determined according to Lyapunov stability theory. It is found that projective synchronization can be realized for unidirectional star-connection even if the coupling strength between the nodes is a given arbitrary weight value. The Gray–Scott models having spatiotemporal chaos behaviours are taken as nodes in the weighted complex network, and simulation results of spatiotemporal synchronization show the effectiveness of the method.

Abstract: Projective synchronization of a weighted complex network is studied in which nodes are spatiotemporal chaos systems and all nodes are coupled not with the nonlinear terms of the system but through a weighted connection. The range of the linear coefficient matrix of separated configuration，when the synchronization is implemented, is determined according to Lyapunov stability theory. It is found that projective synchronization can be realized for unidirectional star-connection even if the coupling strength between the nodes is a given arbitrary weight value. The Gray–Scott models having spatiotemporal chaos behaviours are taken as nodes in the weighted complex network, and simulation results of spatiotemporal synchronization show the effectiveness of the method.

Key words: weighted network, spatiotemporal chaos, projective synchronization, Lyapunov stability theory

中图分类号: (Networks and genealogical trees)

89.75.Hc

05.45.Xt (Synchronization; coupled oscillators)

吕翎, 柴元, 栾玲. Projective synchronization of spatiotemporal chaos in a weighted complex network[J]. 中国物理B, 2010, 19(8): 80506-080506.

Lü Ling(吕翎), Chai Yuan(柴元), and Luan Ling(栾玲). Projective synchronization of spatiotemporal chaos in a weighted complex network[J]. Chin. Phys. B, 2010, 19(8): 80506-080506.

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Projective synchronization of spatiotemporal chaos in a weighted complex network

Projective synchronization of spatiotemporal chaos in a weighted complex network

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