基于旋转周期解的星型网络同步问题  

Synchronization of Star Network Based on Rotating Periodic Solution

作　　者：祝熙娟 王帅[1] ZHU Xijuan;WANG Shuai(School of Mathematics and Statistics,Changchun University of Science and Technology,Changchun 130022,China)

机构地区：[1]长春理工大学数学与统计学院,长春130022

出　　处：《吉林大学学报（理学版）》2022年第6期1326-1334,共9页Journal of Jilin University:Science Edition

基　　金：吉林省自然科学基金(批准号:20210101159JC)和吉林省教育厅“十三五”科学技术研究规划项目(批准号:JJKH20200726KJ).

摘　　要：首先,利用旋转周期解理论讨论星型网络结构对同步的影响,判断星型网络中各种类型同步解的存在性,并给出星形网络对称性与同步解的关系;其次,在星型网络中,所有满足旋转周期条件的旋转矩阵形成一些特殊的群,利用这些群的共轭类和对角化方法,得到多种类型的同步解.Firstly,the influence of the structure of the star network on synchronization was discussed by using the theory of rotating periodic solutions.The existence of various types of synchronization solutions in star networks was judged,and the relationship between symmetry of the star network and synchronization solutions was given.Secondly,in the star network,all the rotating matrices satisfying the rotating periodic conditions formed some special groups.By using the conjugate classes of these groups and diagonalization method,we obtained various types of synchronization solutions.

关 键 词：星型网络 同步 旋转周期解 群 共轭类 

分 类 号：O193[理学—数学]