Nonlinear Instability of the Incoherent State for the Kuramoto-Sakaguchi-Fokker-Plank Equation

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	Nonlinear Instability of the Incoherent State for the Kuramoto-Sakaguchi-Fokker-Plank Equation
	Ha, Seung-Yeal 1,2; Xiao, Qinghua 3
刊名	JOURNAL OF STATISTICAL PHYSICS
	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
内容类型	期刊论文
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.