几种Kuramoto振子网络同步性能的比较

广西师范大学学报（自然科学版） ›› 2011, Vol. 29 ›› Issue (4): 16-20.

几种Kuramoto振子网络同步性能的比较

李福涛, 马静, 邹艳丽, 莫玉芳

广西师范大学电子工程学院,广西桂林541004

收稿日期:2011-07-10 发布日期:2018-11-16
通讯作者: 邹艳丽(1972—),女,河北沧州人,广西师范大学教授,博士。E-mail:zouyanli72@163.com
基金资助:
国家自然科学基金资助项目(11062001);广西高校优秀人才资助计划项目(RC2007006);广西研究生科研创新项目资助课题(20111006020809M49)

Comparing Synchronizability of Several Kuramoto Oscillator Networks with Different Topologies

LI Fu-tao, MA Jing, ZOU Yan-li, MO Yu-fang

College of Electronic Engineering,Guangxi Normal University,Guilin Guangxi 541004,China

Received:2011-07-10 Published:2018-11-16

摘要/Abstract

摘要： 本文采用Kuramoto相位振子作为网络节点进行同步研究。以序参量作为同步性能的描述指标,首先仿真研究了BA无标度网络中控制增益对同步性能的影响,得出了网络实现全局同步的临界耦合强度。然后比较研究了ER随机网络、NW小世界网络和BA无标度网络几种不同网络结构下的Kuramoto振子系统的同步性能,研究表明BA无标度网络中最容易出现部分同步行为,但ER随机网络更容易实现全局同步,NW小世界网络的同步性能在三种网络结构中是最差的。

关键词: 网络拓扑, 网络同步, Kuramoto振子模型

Abstract: This paper discusses the network synchronization with the Kuramoto phase oscillator being used as an individual node.The order parameter is taken as an index for scaling the network synchronizability.Firstly,theeffect of the coupling strength is studied on the synchronizability of a BA scale-free network and the critical coupling strength for global synchronization can be obtaied.Then,the synchronizability of three kinds of networks are comparedwhich are ER random networks,NW small world networks and BA scale-free networks.The results show that BA scale-free networks are prone to have partial synchronization,ER random networks are much easier to realize global synchronization and NW small-world networks are relative difficult to realize synchronization among the three topologies.

Key words: network topologies, network synchronizability, Kuramoto phase oscillators

中图分类号:

O231.3

李福涛, 马静, 邹艳丽, 莫玉芳. 几种Kuramoto振子网络同步性能的比较[J]. 广西师范大学学报（自然科学版）, 2011, 29(4): 16-20.

LI Fu-tao, MA Jing, ZOU Yan-li, MO Yu-fang. Comparing Synchronizability of Several Kuramoto Oscillator Networks with Different Topologies[J]. Journal of Guangxi Normal University(Natural Science Edition), 2011, 29(4): 16-20.

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