Remarks on the nonlinear stability of the Kuramoto-Sakaguchi equation
文献类型：期刊论文
| 作者 | Ha, Seung-Yeal1,2; Xiao, Qinghua3 |
| 刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2015-09-15 |
| 卷号 | 259期号:6页码:2430-2457 |
| 英文摘要 | We present a nonlinear stability estimate of the incoherent solution to the Kuramoto-Sakaguchi equation using energy estimates. Our global stability analysis does not require the amplitude of the solution to be small, as long as the ratio of diffusion strength to coupling strength is sufficiently large. We also show that the Kuramoto-Sakaguchi equation is L-2-contractive in the perturbed regime of the incoherent solution. Moreover, we establish the L-infinity-convergence in any finite time interval from the Kuramoto-Sakaguchi equation to the Kuramoto equation as the diffusion coefficient goes to zero. (C) 2015 Elsevier Inc. All rights reserved. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Mathematics |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | COUPLED OSCILLATORS ; SYNCHRONIZATION ; POPULATIONS ; SYSTEMS ; LIMIT ; MODEL |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000368466500011 |
| 公开日期 | 2016-03-22 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/9153]  |
| 专题 | 武汉物理与数学研究所_数学物理与应用研究部 |
| 作者单位 | 1.Seoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea 2.Seoul Natl Univ, Res Inst Math, Seoul 151747, South Korea 3.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China |
| 推荐引用方式 GB/T 7714 | Ha, Seung-Yeal,Xiao, Qinghua. Remarks on the nonlinear stability of the Kuramoto-Sakaguchi equation[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2015,259(6):2430-2457. |
| APA | Ha, Seung-Yeal,&Xiao, Qinghua.(2015).Remarks on the nonlinear stability of the Kuramoto-Sakaguchi equation.JOURNAL OF DIFFERENTIAL EQUATIONS,259(6),2430-2457. |
| MLA | Ha, Seung-Yeal,et al."Remarks on the nonlinear stability of the Kuramoto-Sakaguchi equation".JOURNAL OF DIFFERENTIAL EQUATIONS 259.6(2015):2430-2457. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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