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Hu, X; Boccaletti, S; Huang, WW; Zhang, XY; Liu, ZH; Guan, SG; Lai, CH; Guan, SG (reprint author), E China Normal Univ, Dept Phys, Shanghai 200241, Peoples R China.
Exact solution for first-order synchronization transition in a generalized Kuramoto model
Source PublicationSCIENTIFIC REPORTS
Language英语
KeywordCoupled Oscillators Networks
AbstractFirst-order, or discontinuous, synchronization transition, i.e. an abrupt and irreversible phase transition with hysteresis to the synchronized state of coupled oscillators, has attracted much attention along the past years. We here report the analytical solution of a generalized Kuramoto model, and derive a series of exact results for the first-order synchronization transition, including i) the exact, generic, solutions for the critical coupling strengths for both the forward and backward transitions, ii) the closed form of the forward transition point and the linear stability analysis for the incoherent state (for a Lorentzian frequency distribution), and iii) the closed forms for both the stable and unstable coherent states (and their stabilities) for the backward transition. Our results, together with elucidating the first-order nature of the transition, provide insights on the mechanisms at the basis of such a synchronization phenomenon.
2014
ISSN2045-2322
Volume4Issue:-Pages:7262
Subject AreaPhysics
DOI10.1038/srep07262
Indexed BySCI
Funding OrganizationInnovation Program of Shanghai Municipal Education Commission [12ZZ043]; NSFC [11075056, 11375066, 11135001]; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF151CJ1] ; Innovation Program of Shanghai Municipal Education Commission [12ZZ043]; NSFC [11075056, 11375066, 11135001]; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF151CJ1] ; Innovation Program of Shanghai Municipal Education Commission [12ZZ043]; NSFC [11075056, 11375066, 11135001]; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF151CJ1] ; Innovation Program of Shanghai Municipal Education Commission [12ZZ043]; NSFC [11075056, 11375066, 11135001]; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF151CJ1]
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Cited Times:49[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/15559
CollectionSCI期刊论文
Corresponding AuthorGuan, SG (reprint author), E China Normal Univ, Dept Phys, Shanghai 200241, Peoples R China.
Recommended Citation
GB/T 7714
Hu, X,Boccaletti, S,Huang, WW,et al. Exact solution for first-order synchronization transition in a generalized Kuramoto model[J]. SCIENTIFIC REPORTS,2014,4(-):7262.
APA Hu, X.,Boccaletti, S.,Huang, WW.,Zhang, XY.,Liu, ZH.,...&Guan, SG .(2014).Exact solution for first-order synchronization transition in a generalized Kuramoto model.SCIENTIFIC REPORTS,4(-),7262.
MLA Hu, X,et al."Exact solution for first-order synchronization transition in a generalized Kuramoto model".SCIENTIFIC REPORTS 4.-(2014):7262.
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