Explosive synchronization with asymmetric frequency distribution

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	Explosive synchronization with asymmetric frequency distribution
	Zhou, WC; Chen, LM; Bi, HJ; Hu, X; Liu, ZH; Guan, SG
刊名	PHYSICAL REVIEW E
	2015
卷号	92 期号:1 页码:12812
通讯作者	Guan, SG (reprint author), E China Normal Univ, Dept Phys, Shanghai 200241, Peoples R China.
英文摘要	In this work, we study the synchronization in a generalized Kuramoto model with frequency-weighted coupling. In particular, we focus on the situations in which the frequency distributions of oscillators are asymmetric. For typical unimodal frequency distributions, such as Lorentzian, Gaussian, triangle, and even special Rayleigh, we find that the synchronization transition in the model generally converts from the first order to the second order as the central frequency shifts toward positive direction. We characterize two interesting coherent states in the system: In the former, two phase-locking clusters are formed, rotating with the same frequency. They correspond to those oscillators with relatively high frequencies while the oscillators with relatively small frequencies are not entrained. In the latter, two phase-locking clusters rotate with different frequencies, leading to the oscillation of the order parameter. We further conduct theoretical analysis to reveal the relation between the asymmetric frequency distribution and the conversion of synchronization type, and justify the coherent states observed in the system.
学科主题	Physics
类目[WOS]	Physics, Fluids & Plasmas ; Physics, Mathematical
关键词[WOS]	KURAMOTO MODEL ; OSCILLATORS ; TRANSITION ; NETWORKS
收录类别	SCI
语种	英语
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/20924]
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	Zhou, WC,Chen, LM,Bi, HJ,et al. Explosive synchronization with asymmetric frequency distribution[J]. PHYSICAL REVIEW E,2015,92(1):12812.
APA	Zhou, WC,Chen, LM,Bi, HJ,Hu, X,Liu, ZH,&Guan, SG.(2015).Explosive synchronization with asymmetric frequency distribution.PHYSICAL REVIEW E,92(1),12812.
MLA	Zhou, WC,et al."Explosive synchronization with asymmetric frequency distribution".PHYSICAL REVIEW E 92.1(2015):12812.