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Explosive synchronization with asymmetric frequency distribution
Zhou, WC; Chen, LM; Bi, HJ; Hu, X; Liu, ZH; Guan, SG; Guan, SG (reprint author), E China Normal Univ, Dept Phys, Shanghai 200241, Peoples R China.
2015
发表期刊PHYSICAL REVIEW E
卷号92期号:1页码:12812
文章类型Article
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.
学科领域Physics
资助者Innovation Program of Shanghai Municipal Education Commission [12ZZ043] ; Innovation Program of Shanghai Municipal Education Commission [12ZZ043] ; National Natural Science Foundation of China [11075056, 11375066, 11305062, 11135001] ; National Natural Science Foundation of China [11075056, 11375066, 11305062, 11135001] ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF151CJ1] ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF151CJ1] ; Innovation Program of Shanghai Municipal Education Commission [12ZZ043] ; Innovation Program of Shanghai Municipal Education Commission [12ZZ043] ; National Natural Science Foundation of China [11075056, 11375066, 11305062, 11135001] ; National Natural Science Foundation of China [11075056, 11375066, 11305062, 11135001] ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF151CJ1] ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF151CJ1]
DOIhttp://dx.doi.org/10.1103/PhysRevE.92.012812
关键词[WOS]KURAMOTO MODEL ; OSCILLATORS ; TRANSITION ; NETWORKS
收录类别SCI
语种英语
资助者Innovation Program of Shanghai Municipal Education Commission [12ZZ043] ; Innovation Program of Shanghai Municipal Education Commission [12ZZ043] ; National Natural Science Foundation of China [11075056, 11375066, 11305062, 11135001] ; National Natural Science Foundation of China [11075056, 11375066, 11305062, 11135001] ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF151CJ1] ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF151CJ1] ; Innovation Program of Shanghai Municipal Education Commission [12ZZ043] ; Innovation Program of Shanghai Municipal Education Commission [12ZZ043] ; National Natural Science Foundation of China [11075056, 11375066, 11305062, 11135001] ; National Natural Science Foundation of China [11075056, 11375066, 11305062, 11135001] ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF151CJ1] ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF151CJ1]
WOS类目Physics, Fluids & Plasmas ; Physics, Mathematical
引用统计
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/20924
专题理论物理所2015年知识产出
通讯作者Guan, SG (reprint author), E China Normal Univ, Dept Phys, Shanghai 200241, Peoples R China.
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.
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