Synchronization of weighted networks and complex synchronized regions

doi:10.1016/j.physleta.2008.02.056

CORC > 北京大学 > 工学院

	Synchronization of weighted networks and complex synchronized regions
	Duan, Zhisheng ; Chen, Guanrong ; Huang, Lin
刊名	physics letters a
	2008
关键词	network synchronization complex synchronized region matrix pencil weighted network DYNAMICAL NETWORKS CHAOTIC SYSTEMS STABILITY
DOI	10.1016/j.physleta.2008.02.056
英文摘要	Since the Laplacian matrices of weighted networks usually have complex eigenvalues, the problem of complex synchronized regions should be investigated carefully. The present Letter addresses this important problem by converting it to a matrix stability problem with respect to a complex parameter, which gives rise to several types of complex synchronized regions, including bounded; unbounded, disconnected, and empty regions. Because of the existence of disconnected synchronized regions, the convexity characteristic of stability for matrix pencils is further discussed. Then, some efficient methods for designing local feedback controllers and inner-linking matrices to enlarge the synchronized regions are developed and analyzed. Finally, a weighted network of smooth Chua's circuits is presented as an example for illustration. (C) 2008 Elsevier B.V. All rights reserved.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000256463800001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Physics, Multidisciplinary; SCI(E); 55; ARTICLE; 21; 3741-3751; 372
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/155017]
专题	工学院
推荐引用方式 GB/T 7714	Duan, Zhisheng,Chen, Guanrong,Huang, Lin. Synchronization of weighted networks and complex synchronized regions[J]. physics letters a,2008.
APA	Duan, Zhisheng,Chen, Guanrong,&Huang, Lin.(2008).Synchronization of weighted networks and complex synchronized regions.physics letters a.
MLA	Duan, Zhisheng,et al."Synchronization of weighted networks and complex synchronized regions".physics letters a (2008).