Synchronization in the Kuramoto model: A dynamical gradient network approach

doi:10.1103/PhysRevE.77.027101

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	Synchronization in the Kuramoto model: A dynamical gradient network approach
	Chen, Maoyin 1,2,3; Shang, Yun 4; Zou, Yong 3; Kurths, Juergen 3
	2008-02-01
发表期刊	PHYSICAL REVIEW E
ISSN	1539-3755
卷号	77 期号:2 页码:4
摘要	We propose a dynamical gradient network approach to consider the synchronization in the Kuramoto model. Our scheme to adaptively adjust couplings is based on the dynamical gradient networks, where the number of links in each time interval is the same as the number of oscillators, but the links in different time intervals are also different. The gradient network in the (n+1)th time interval is decided by the oscillator dynamics in the nth time interval. According to the gradient network in the (n+1)th time interval, only one inlink's coupling for each oscillator is adjusted by a small incremental coupling. During the transition to synchronization, the intensities for all oscillators are identical. Direct numerical simulations fully verify that the synchronization in the Kuramoto model is realized effectively, even if there exist delayed couplings and external noise.
DOI	10.1103/PhysRevE.77.027101
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Fluids & Plasmas ; Physics, Mathematical
WOS记录号	WOS:000253763800079
出版者	AMER PHYSICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6421
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, Maoyin
作者单位	1.Tsinghua Univ, Tsinghua Natl Lab Inforamt Sci & Technol, Beijing 100084, Peoples R China 2.Tsinghua Univ, Dept Automat, Beijing 100084, Peoples R China 3.Univ Potsdam, Inst Phys, D-14469 Potsdam, Germany 4.Acad Sinica, Inst Math, AMSS, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Chen, Maoyin,Shang, Yun,Zou, Yong,et al. Synchronization in the Kuramoto model: A dynamical gradient network approach[J]. PHYSICAL REVIEW E,2008,77(2):4.
APA	Chen, Maoyin,Shang, Yun,Zou, Yong,&Kurths, Juergen.(2008).Synchronization in the Kuramoto model: A dynamical gradient network approach.PHYSICAL REVIEW E,77(2),4.
MLA	Chen, Maoyin,et al."Synchronization in the Kuramoto model: A dynamical gradient network approach".PHYSICAL REVIEW E 77.2(2008):4.