摘要
基于Kuramoto模型,本文研究了平面网格上耦合振子通往同步的路径。在平面网格中,引入"粗糙度"表征不同的布局。布局的差异体现了网格中相邻振子之间的频率失配程度。粗糙度越大,失配程度越高。采用模拟退火算法,分别取得具有最小和最大粗糙度的频率布局。研究表明:粗糙度存在临界值,低于临界值,系统中耦合振子在通往同步的路径中表现为连续相变;高于临界值,系统出现爆炸式相变。爆炸式同步所需的耦合强度明显低于连续相变。通过调节网络粗糙度,可以有效控制同步转变的类型,从而节约耦合成本。
Based on the Kuramoto model,the path of coupled oscillators to synchronization on a planar grid was studied in this paper.In the plane grid,the parameter named roughness was introduced to characterize different layouts.The differences in the layouts reflected the frequency mismatch degree between adjacent oscillators in the grids.The larger the roughness,the higher the mismatch degree.The simulated annealing algorithm was used to obtain the frequency layout with minimum and maximum roughness,respectively.The results showed that there was a critical value of the roughness,the coupling oscillator in the system presented continuous phase transition in the path to synchronization when the roughness was below the critical value,the system showed explosive phase transition with the roughness value higher than the critical value.The coupling strength required for the explosive synchronization was obviously lower than that of the continuous phase transition.By adjusting the network roughness,the type of the synchronous transformation could be effectively controlled,so as to save the coupling costs.
作者
唐智权
TANG Zhiquan(School of Electronics and Information Engineering,Wuzhou University,Wuzhou 543000,China)
出处
《内蒙古农业大学学报（自然科学版）》
CAS
2021年第3期72-76,共5页
Journal of Inner Mongolia Agricultural University(Natural Science Edition)
基金
国家自然科学基金项目“信息诱导下网络交通流元胞自动机模型和特性研究”(61563054)
广西自然科学基金项目“复杂网络节点有效中心性及爆炸式同步研究(联合资助培育项目)”(2019GXNSFAA245023)
广西高校复杂系统优化与大数据处理重点实验室开放项目“道路交通流的标度行为及风险预警”(2015CSOBDP0101)。
