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

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.

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

Received: 19 October 2009
Revised: 18 December 2009
Accepted manuscript online:

PACS:	89.75.Hc	(Networks and genealogical trees)
	05.45.Xt	(Synchronization; coupled oscillators)
	02.30.Yy	(Control theory)
	07.05.Dz	(Control systems)

Fund: 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).

Cite this article:

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 2010 Chin. Phys. B 19 070509

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

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