周期性边界条件下最近邻Kuramoto模型的“迟滞”现象
首发时间:2011-12-16
摘要:Kuramoto 模型自从20世纪中页提出以后,由于其包含简单而丰富的动力学现象,人们对该模型的研究从未间断。本论文主要研究在最近邻带周期性边界条件的Kuromoto模型下的同步问题。研究发现,由于振子初始相位的随机性,导致结果中振子频率的多态现象。又利用序参量时序图,来验证结果的正确性。通过剥离态算法,本文得到分叉图中"迟滞现象"。
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Phenomenon of arrearage in the nearest neighbor Kuramoto model with periodic boundary condition
Abstract:In this paper,we introduce about synchronization and the progress about the research of it .Here we mainly study about the problem of synchronization in nearest neighbor Kuramoto model with periodic boundary condition.From our result ,there are multistable behavior about the frequency of the oscillators as the difference of initial condition.Then we use the order parameter to verify our result.finally,through stripped algorithm,we can get the arrearage phenomenon in the graph.
Keywords: nonlinear synchronization arrearage phenomenon
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No.4454238626144132****
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