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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.
Explosive synchronization with asymmetric frequency distribution
Source PublicationPHYSICAL REVIEW E
Language英语
AbstractIn 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.
2015
Volume92Issue:1Pages:12812
Subject AreaPhysics
DOIhttp://dx.doi.org/10.1103/PhysRevE.92.012812
Indexed BySCI
Funding OrganizationInnovation Program of Shanghai Municipal Education Commission [12ZZ043] ; Innovation Program of Shanghai Municipal Education Commission [12ZZ043] ; 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] ; 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] ; 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]
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/20924
Collection理论物理所科研产出_SCI论文
Corresponding AuthorGuan, SG (reprint author), E China Normal Univ, Dept Phys, Shanghai 200241, Peoples R China.
Recommended Citation
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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