快速构建复杂网络仿真模型的算法研究  

Algorithm Research on Quickly Constructing Simulation Models of the Complex Network

作　　者：方鸿雁[1] 潘园园[1] 孙华通 张立[1] 段法兵[1] 

机构地区：[1]青岛大学复杂性科学研究所,山东青岛266071

出　　处：《青岛大学学报（工程技术版）》2017年第2期7-11,共5页Journal of Qingdao University(Engineering & Technology Edition)

基　　金：国家自然科学基金资助项目(61573202);山东省科技发展计划项目(2014GGX101031)

摘　　要：针对复杂网络仿真模型的构建问题,本文给出了一种快速构建复杂网络仿真模型的自动连接算法,利用Simulink仿真平台实现规则网络与复杂网络的有向自动连线,并引入加权矩阵控制网络中子系统之间的耦合强度,通过调节加权矩阵实现串联网络、并联网络、星形网络和随机网络4种不同网络拓扑结构。在并联网络构建过程中,需选取其中一个由信号接收机和发射源构成的特殊子系统,而构建随机网络时,仅需要对加权矩阵元素的取值范围进行随机调节即可。此算法通用性较好,提高了具有大量节点的复杂网络模型构建效率,对于利用Simulink仿真平台研究复杂网络具有重要意义。This paper studies the constructing method of the complex network by the Simulink toolbox. An au-tomatic connection algorithm of quickly constructing simulation models of the complex network is put forward. Based on the Simulink toolbox, this algorithm can automatically connect nodesof the complex network with di-rected links. Furthermore, the coupling coefficients of subsystems form the weighed m a tr ix, and different net-work topologies such as series networks, parallel networks, star networks and random networks can be estab-lished by correctly assigning the corresponding matrix element values. In particular, during the process of building a parallel network, we need to choose a special subsystem that composes of a receiver and a signal source. For a random network, we only need to randomly tune the matrix element values with a probability that represents the coupling strength or the connection degree. This algorithm is general, especially in impro-ving efficiency of constructing the complex networks with a large number of nodes. I t is of great significance for the study of complex networks via the Simulink toolbox.

关 键 词：复杂网络 自动连线 权矩阵 SIMULINK 

分 类 号：O157.5[理学—数学]