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Driving-based generalized synchronization in two-layer networks via pinning control
Ning, Di1,2; Wu, Xiaoqun1; Lu, Jun-An1; Lu, Jinhu3
2015-11-01
Source PublicationCHAOS
ISSN1054-1500
Volume25Issue:11Pages:10
AbstractSynchronization 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.
DOI10.1063/1.4935069
Language英语
Funding ProjectNational 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 Research AreaMathematics ; Physics
WOS SubjectMathematics, Applied ; Physics, Mathematical
WOS IDWOS:000365766200004
PublisherAMER INST PHYSICS
Citation statistics
Cited Times:17[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/21355
Collection系统科学研究所
Affiliation1.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
Recommended Citation
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.
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