Projective synchronisation with non-delayed and delayed coupling in complex networks consisting of identical nodes and different nodes

doi:10.1088/1674-1056/19/7/070509

中国物理B ›› 2010, Vol. 19 ›› Issue (7): 70509-070509.doi: 10.1088/1674-1056/19/7/070509

Projective synchronisation with non-delayed and delayed coupling in complex networks consisting of identical nodes and different nodes

董高高¹, 田立新¹, 郑松¹, 孙梅¹, 杜瑞瑾²

(1)Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang 212013, China; (2)Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang 212013, China;College of Mathematics and Computer Science, Chongqing Normal University, Chongqing 401331, China

收稿日期:2009-10-19 修回日期:2009-12-18 出版日期:2010-07-15 发布日期:2010-07-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 10771088), Natural Science Foundation of Jiangsu Province, China (Grant No. 2007098), Outstanding Personnel Program in Six Fields of Jiangsu Province, China (Grant No. 6-A-029), National Natural Science (Youth) Foundation of China (Grant No. 10801140), Youth Foundation of Chongqing Normal University, China (Grant No. 08XLQ04) and the Natural Science Foundation of the Jiangsu Higher Education Institutions of China (Grant No. CX09B_202Z).

Projective synchronisation with non-delayed and delayed coupling in complex networks consisting of identical nodes and different nodes

Du Rui-Jin (杜瑞瑾)^ab, Dong Gao-Gao (董高高)^a, Tian Li-Xin (田立新)^a, Zheng Song (郑松)^a, Sun Mei (孙梅)^a

^a Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang 212013, China; ^b College of Mathematics and Computer Science, Chongqing Normal University, Chongqing 401331, China

Received:2009-10-19 Revised:2009-12-18 Online:2010-07-15 Published:2010-07-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 10771088), Natural Science Foundation of Jiangsu Province, China (Grant No. 2007098), Outstanding Personnel Program in Six Fields of Jiangsu Province, China (Grant No. 6-A-029), National Natural Science (Youth) Foundation of China (Grant No. 10801140), Youth Foundation of Chongqing Normal University, China (Grant No. 08XLQ04) and the Natural Science Foundation of the Jiangsu Higher Education Institutions of China (Grant No. CX09B_202Z).

摘要/Abstract

摘要： This paper first investigates the projective synchronisation problem with non-delayed and delayed coupling between drive-response dynamical networks consisting of identical nodes and different nodes. Based on Lyapunov stability theory, several nonlinear controllers are applied to achieve the projective synchronisation between the drive-response dynamical networks; simultaneously the topological structure of the drive dynamical complex networks can be exactly identified. Moreover, numerical examples are presented to verify the feasibility and effectiveness of the theorems.

Abstract: This paper first investigates the projective synchronisation problem with non-delayed and delayed coupling between drive-response dynamical networks consisting of identical nodes and different nodes. Based on Lyapunov stability theory, several nonlinear controllers are applied to achieve the projective synchronisation between the drive-response dynamical networks; simultaneously the topological structure of the drive dynamical complex networks can be exactly identified. Moreover, numerical examples are presented to verify the feasibility and effectiveness of the theorems.

Key words: adaptive projective synchronisation, drive-response dynamical networks, non-delayed and delayed coupling, identical and different nodes

中图分类号: (Networks and genealogical trees)

89.75.Hc

05.45.Xt (Synchronization; coupled oscillators) 02.30.Yy (Control theory) 07.05.Dz (Control systems)

杜瑞瑾, 董高高, 田立新, 郑松, 孙梅. Projective synchronisation with non-delayed and delayed coupling in complex networks consisting of identical nodes and different nodes[J]. 中国物理B, 2010, 19(7): 70509-070509.

Du Rui-Jin (杜瑞瑾), Dong Gao-Gao (董高高), Tian Li-Xin (田立新), Zheng Song (郑松), Sun Mei (孙梅). Projective synchronisation with non-delayed and delayed coupling in complex networks consisting of identical nodes and different nodes[J]. Chin. Phys. B, 2010, 19(7): 70509-070509.

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Projective synchronisation with non-delayed and delayed coupling in complex networks consisting of identical nodes and different nodes

Projective synchronisation with non-delayed and delayed coupling in complex networks consisting of identical nodes and different nodes

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