無標度網絡matlab建模(編輯修改稿)
2025-07-19 22:16 本頁面
【文章內容簡介】 ，依次類推，每次執(zhí)行的過程中若與前兩次連接到相同的點上，則重新進行擇優(yōu)，以此保證生成的網絡能夠滿足網絡的無標度性。 下面給出一個由100個節(jié)點組成的無標度網絡的部分節(jié)點連接關系。圖2 無標度網絡部分節(jié)點鏈接關系通過C++，我們也得到了一個無標度網絡的鄰接矩陣和聚類系數。圖3 無標度網絡鄰接矩陣及其聚類系數在生成無標度網絡后，通過編程，繪制了一張由100個節(jié)點組成的無標度網絡圖。圖3 無標度網絡模型其部分實現代碼解釋如下：len=r_size(1)。rho=10。 %限制圖尺寸的大小r=5/^len。 %設置點的半徑theta=0:(2*pi/len):2*pi*(11/len)。 %利用極坐標繪制一個由100各點組成的圓[pointx,pointy]=pol2cart(theta39。,rho)。theta=0:pi/36:2*pi。[tempx,tempy]=pol2cart(theta39。,r)。point=[pointx,pointy]。hold on %保留已經繪制好的點不給覆蓋繪制無標度網絡分為兩個步驟：。，然后根據鄰接矩陣繪制各點之間的關系for i=1:len for j=1:len if rel(i,j) link_plot(point(i,:),point(j,:),r,control)。 %將有關系的點進行連接 end endend這樣就將網絡中所有相連的節(jié)點進行了連接，建立了無標度網絡的模型。 參考文獻:[1] Watts D J，Strogatz S H。Collective dynamics of ‘smallworld’ networks [J]。Nature，1998，393(6684):397498.[2]。Emergence of scaling in random networks。，286(5439):509512.[3] structure and function of plex ReView2003，45(2):167256.[4] 方小生.《隨機網絡控制系統(tǒng)的性能分析與魯棒控制》..[5]:2004.(4):1116.[6] theory for scalefree random networks，PhysicaA，1999，272:173187，condmat/9907068.[7]孫金土.《復雜系統(tǒng)中的有關特性和動力學行為》..[8]劉美玲.《BA無標度網絡模型的應用及擴展》..Research on ScaleFree Network and Modeling of Complex SystemXia YouliangDepartment of System Science，Nanjing University of Information Science amp。 Technology，Nanjing 210044ABSTRACTThe 21st century is the plexity of the world, Been unable to meet the current understanding of nature and human society as a whole system and researchbased the reductionism worldview and methodology, The use of systems science methods to reexamine science almost bees an urgent need. In real life, the numerous and plex network is a scalefree nature, such growth in scalefree networks and preferred connectivity very well explain the rich getting richer Matthew effect”. Research on scalefree networks, there is a profound understanding of their Internet, seismic networks, viral and social wealth distribution network in the theoretical and practical significance. This article through a plex network of analysis and research on scalefree network, introduces the General random scalefree networks from network characteristics and practical significance, and use Matlab to generate a scalefree network.Key word: scalefree network,power law characteristics ,model building附錄：C++程序：includeincludeincludeconst int N=20。int n。int select(float bit[])。class BA{public: int s,v,h。 float max。 int a[N+1][N+1]。 int b[N+1][N+1]。 int k[(N+1)*(N+1)]。 float num[(N+1)*(N+1)]。 float p[(N+1)*(N+1)]。
法律信息相關推薦
鄂ICP備17016276號-1