带自环的无向网络的同步研究  

Synchronization of Undirected Complex Network with Self-loop

作　　者：孔秀琼 袁正中 蔡萍 KONG Xiuqiong;YUAN Zhengzhong;CAI Ping(School of Mathematics and Statistics, Minnan Normal University, Zhangzhou, Fujian 363000, China;Institute of Meteorological Big Data-Digital Fujian, Zhangzhou, Fujian 363000, China;Fujian Key Laboratory of Date Science and Statistics, Zhangzhou, Fujian 363000, China)

机构地区：[1]闽南师范大学数学与统计学院,福建漳州363000 [2]数字福建气象大数据研究所,福建漳州363000 [3]数据科学与统计学重点实验室,福建漳州363000

出　　处：《闽南师范大学学报（自然科学版）》2019年第3期26-30,共5页Journal of Minnan Normal University：Natural Science

基　　金：国家自然科学基金(61403181,61603174);福建省自然科学基金(2017J05012,2018J01550);闽南师范大学新世纪优秀人才项目(MX14001)

摘　　要：网络中普遍存在自环,对带有自环网络的研究,如网络同步还鲜有结果.利用Lyapunov稳定性理论研究带自环的网络的同步问题,分别研究了存在部分自环和全自环情形下网络的同步态、同步准则和同步性能,并通过数值仿真验证了相关结果.There are self - loops in the network, and the networks with self - loops have not been studied. In this paper, we use Lyapunov stability method to study some basic complex network dynamic systems with self-loop, analyze the synchronous state, synchronization criterion and synchronization performance of self-loop networks under different self-loops, and obtain that self-loop can promote network synchronization, and verify the validity of the conclusion through simulation.

关 键 词：复杂网络 同步 自环 

分 类 号：O231.2[理学—运筹学与控制论]