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Exact solution for first-order synchronization transition in a generalized Kuramoto model
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.
2014
发表期刊SCIENTIFIC REPORTS
ISSN2045-2322
卷号4期号:-页码:7262
摘要First-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.
部门归属[Hu, Xin
关键词Coupled Oscillators Networks
学科领域Physics
资助者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] ; 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] ; 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]
DOI10.1038/srep07262
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收录类别SCI
语种英语
资助者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] ; 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] ; 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]
WOS记录号WOS:000346257700010
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被引频次:35[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/15559
专题理论物理所SCI论文
通讯作者Guan, SG (reprint author), E China Normal Univ, Dept Phys, Shanghai 200241, Peoples R China.
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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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