摘要
针对多层变耦合星型网络的同步性进行了研究:在层内耦合强度总值一定的前提下,令网络中部分耦合强度分别按照正比例函数、反比例函数、指数函数、对数函数以及三角函数等规律变化,然后严格推导多层变耦合星型网络的超拉普拉斯矩阵及其特征值谱,依据主稳定函数法,研究网络同步能力。数值仿真结果表明:当网络中部分耦合强度发生变化时,其余耦合强度随之以相反的趋势变化;在某些变化规律下,可能出现不同区间内网络同步能力的变化趋势不同的情况;另外,同步域有界时网络同步能力可能达到极大的值。综合分析可以得出结论:网络同步能力的变化趋势始终与较小耦合强度的变化趋势相同,且同步域有界时更容易实现网络同步。
This paper studied the multilayer star network synchronization with variable coupling strength.First,from the premise that the sum of the intralayer coupling strength in the network was constant,part of the coupling strength were made to vary respectively according to the rule of different functions,then it strictly derived the Supra-Laplace matrix and its eigenvalue spectrum of multilayer star network.Finally,it studied the network synchronizability on the basis of the main stability method.The simulation results show that when part of the coupling strength varies,the other coupling strength will vary in a opposite trend.Besides,the network synchronizability may be very large when the synchronous domain is bounded.The conclusion is that the trend of the synchronizability is always the same as the trend of the smaller coupling strength in the multilayer star network,and it is easier for the multilayer star network to be synchronous when the synchronous domain is bounded.
作者
李晓霞
李艳雨
冯志新
张启宇
Li Xiaoxia;Li Yanyu;Feng Zhixin;Zhang Qiyu(State Key Laboratory of Reliability&Intelligence of Electrical Equipment,Hebei University of Technology,Tianjin 300130,China;Key Laboratory of Electromagnetic Field&Electrical Apparatus Reliability of Hebei Province,Hebei University of Technology,Tianjin 300130,China)
出处
《计算机应用研究》
CSCD
北大核心
2020年第5期1532-1535,共4页
Application Research of Computers
基金
河北省自然科学基金资助项目(E2011202051)。
关键词
多层网络
同步能力
时变耦合
multilayer network
synchronizability
variable coupling strength
