Driving-based generalized synchronization in two-layer networks via pinning control

doi:10.1063/1.4935069

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	Driving-based generalized synchronization in two-layer networks via pinning control
	Ning, Di 1,2; Wu, Xiaoqun 1; Lu, Jun-An 1; Lu, Jinhu3
	2015-11-01
发表期刊	CHAOS
ISSN	1054-1500
卷号	25 期号:11 页码:10
摘要	Synchronization of complex networks has been extensively investigated in various fields. In the real world, one network is usually affected by another one but coexists in harmony with it, which can be regarded as another kind of synchronization-generalized synchronization (GS). In this paper, the GS in two-layer complex networks with unidirectional inter-layer coupling via pinning control is investigated based on the auxiliary-system approach. Specifically, for two-layer networks under study, one is considered as the drive network and the other is the response one. According to the auxiliary-system approach, output from the drive layer is designed as input for the response one, and an identical duplication of the response layer is constructed, which is driven by the same driving signals. A sufficient condition for achieving GS via pinning control is presented. Numerical simulations are further provided to illustrate the correctness of the theoretical results. It is also revealed that the least number of pinned nodes needed for achieving GS decreases with the increasing density of the response layer. In addition, it is found that when the intra-layer coupling strength of the response network is large, nodes with larger degrees should be selected to pin first for the purpose of achieving GS. However, when the coupling strength is small, it is more preferable to pin nodes with smaller degrees. This work provides engineers with a convenient approach to realize harmonious coexistence of various complex systems, which can further facilitate the selection of pinned systems and reduce control cost. (C) 2015 AIP Publishing LLC.
DOI	10.1063/1.4935069
语种	英语
资助项目	National Natural Science Foundations of China[61174028] ; National Natural Science Foundations of China[11172215] ; National Natural Science Foundations of China[61203159] ; National Natural Science Foundations of China[61573262] ; National Natural Science Foundations of China[61374173] ; Fundamental Research Funds for the Central Universities, South-Central University for Nationalities[CZQ11010] ; National Bureau of Statistics Project[2014LY020] ; National Bureau of Statistics Project[CZW15065]
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Applied ; Physics, Mathematical
WOS记录号	WOS:000365766200004
出版者	AMER INST PHYSICS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/21355
专题	系统科学研究所
通讯作者	Wu, Xiaoqun
作者单位	1.Wuhan Univ, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China 2.South Cent Univ Nationalities, Sch Math & Stat, Wuhan 430074, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Ning, Di,Wu, Xiaoqun,Lu, Jun-An,et al. Driving-based generalized synchronization in two-layer networks via pinning control[J]. CHAOS,2015,25(11):10.
APA	Ning, Di,Wu, Xiaoqun,Lu, Jun-An,&Lu, Jinhu.(2015).Driving-based generalized synchronization in two-layer networks via pinning control.CHAOS,25(11),10.
MLA	Ning, Di,et al."Driving-based generalized synchronization in two-layer networks via pinning control".CHAOS 25.11(2015):10.