Synchronization in an array of coupled Boolean networks

doi:10.1016/j.physleta.2012.08.037

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	Synchronization in an array of coupled Boolean networks
	Li, Rui ; Chu, Tianguang
刊名	physics letters a
	2012
关键词	Boolean networks Coupled array Synchronization EXPONENTIAL SYNCHRONIZATION CELLULAR-AUTOMATA COMPLEX NETWORKS DYNAMICS SYSTEMS MODELS
DOI	10.1016/j.physleta.2012.08.037
英文摘要	This Letter presents an analytical study of synchronization in an array of coupled deterministic Boolean networks. A necessary and sufficient criterion for synchronization is established based on algebraic representations of logical dynamics in terms of the semi-tensor product of matrices. Some basic properties of a synchronized array of Boolean networks are then derived for the existence of transient states and the upper bound of the number of fixed points. Particularly, an interesting consequence indicates that a "large" mismatch between two coupled Boolean networks in the array may result in loss of synchrony in the entire system. Examples, including the Boolean model of coupled oscillations in the cell cycle, are given to illustrate the present results. (C) 2012 Elsevier B.V. All rights reserved.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000311865500049&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Physics, Multidisciplinary; SCI(E); 13; ARTICLE; 45; 3071-3075; 376
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/154567]
专题	工学院
推荐引用方式 GB/T 7714	Li, Rui,Chu, Tianguang. Synchronization in an array of coupled Boolean networks[J]. physics letters a,2012.
APA	Li, Rui,&Chu, Tianguang.(2012).Synchronization in an array of coupled Boolean networks.physics letters a.
MLA	Li, Rui,et al."Synchronization in an array of coupled Boolean networks".physics letters a (2012).