Nonlinear Instability of the Incoherent State for the Kuramoto-Sakaguchi-Fokker-Plank Equation
文献类型：期刊论文
| 作者 | Ha, Seung-Yeal1,2; Xiao, Qinghua3 |
| 刊名 | JOURNAL OF STATISTICAL PHYSICS
 |
| 出版日期 | 2015-07-01 |
| 卷号 | 160期号:2页码:477-496 |
| 关键词 | Kinetic Kuramoto model Kuramoto-Sakaguchi-Fokker-Plank model Nonlinear instability Incoherent solution Synchronization |
| 英文摘要 | We study the nonlinear instability of the incoherent solution to the Kuramoto-Sakaguchi-Fokker-Plank (KSFP) equation in a large coupling strength regime. For our instability analysis, we construct an approximate, exponentially growing perturbation mode using an elementary energy method. This method does not require spectral information from the linearized KSFP equation or an explicit growing solution for the corresponding linear equation. When the distribution function of oscillator's natural frequencies is either a Dirac measure or a bounded function with a compact support (in a small interval around the origin), the incoherent solution is nonlinearly unstable depending on the relative sizes of the coupling strength and diffusion coefficient. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Physics, Mathematical |
| 研究领域[WOS] | Physics |
| 关键词[WOS] | COUPLED OSCILLATORS ; PHASE OSCILLATORS ; SYNCHRONIZATION ; MODEL ; POPULATIONS ; STABILITY ; SYSTEMS ; LIMIT |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000356819400012 |
| 公开日期 | 2015-08-04 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/4856]  |
| 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. Nonlinear Instability of the Incoherent State for the Kuramoto-Sakaguchi-Fokker-Plank Equation[J]. JOURNAL OF STATISTICAL PHYSICS,2015,160(2):477-496. |
| APA | Ha, Seung-Yeal,&Xiao, Qinghua.(2015).Nonlinear Instability of the Incoherent State for the Kuramoto-Sakaguchi-Fokker-Plank Equation.JOURNAL OF STATISTICAL PHYSICS,160(2),477-496. |
| MLA | Ha, Seung-Yeal,et al."Nonlinear Instability of the Incoherent State for the Kuramoto-Sakaguchi-Fokker-Plank Equation".JOURNAL OF STATISTICAL PHYSICS 160.2(2015):477-496. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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