具有长程相互作用振子环的同步动力学分析  

Synchronous dynamics analysis of ^(the) oscillator ring with long range interaction^(s)

作　　者：唐智权[1] 朱留华 Tang Zhiquan;Zhu Liuhua(Department of Electronic Information Engineering,Wuzhou University,Wuzhou Guangxi,543002;School of Physics and Telecommunication Engineering,Yulin Normal University,Yulin Guangxi,537000)

机构地区：[1]梧州学院电子信息工程系,广西梧州543002 [2]玉林师范学院物理与电信工程学院,广西玉林537000

出　　处：《电子测试》2021年第18期10-12,共3页Electronic Test

基　　金：国家自然科学基金项目(11562020,61563054);广西自然科学基金项目(2019GXNSFAA245023)。

摘　　要：本文研究了耦合强度随距离衰减的Kuramoto振子环的同步相变特性。根据网络特性选用适当的标度变换方法,从而获得临界耦合强度的分析解。适当的尺度缩放可以消除临界耦合强度对相关参数的依赖性。使得具有长程关联的非均匀耦合系统的同步曲线发生重叠。在振子环中,临界耦合强度对系统尺寸不敏感,对随距离衰减的幂律指数有很强的依赖性。In this paper,the characteristics of synchronous phase transition of Kuramoto oscillator ring with coupling strength decreasing with distance are studied.According to the characteristics of the network,an appropriate scale transformation method is selected to obtain the analytical solution of the critical coupling strength.Appropriate scaling can eliminate the dependence of the critical coupling strength on the relevant parameters and make the synchronization curves of the nonuniform coupled system with long-range correlation overlap.In the oscillator ring,the critical coupling strength is insensitive to the size of the system and strongly depends on the power-law exponent decaying with distance.

关 键 词：幂律衰减 修正因子 标度变换 

分 类 号：O157.5[理学—数学]