中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
Exact solution for first-order synchronization transition in a generalized Kuramoto model

文献类型:期刊论文

作者Hu, X ; Boccaletti, S ; Huang, WW ; Zhang, XY ; Liu, ZH ; Guan, SG ; Lai, CH
刊名SCIENTIFIC REPORTS
出版日期2014
卷号4期号:-页码:7262
关键词COUPLED OSCILLATORS NETWORKS
ISSN号2045-2322
通讯作者Guan, SG (reprint author), E China Normal Univ, Dept Phys, Shanghai 200241, Peoples R China.
英文摘要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.
学科主题Physics
收录类别SCI
资助信息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]
原文出处http://dx.doi.org/10.1038/srep07262
语种英语
WOS记录号WOS:000346257700010
公开日期2015-06-03
源URL[http://ir.itp.ac.cn/handle/311006/15559]  
专题理论物理研究所_理论物理所1978-2010年知识产出
推荐引用方式
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.,...&Lai, CH.(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.

入库方式: OAI收割

来源:理论物理研究所

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