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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