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We investigate how the geographical structure of a complex network affects its network topology, synchronization and the average spatial length of edges. The geographical structure means that the connecting probability of two nodes is related to the spatial distance of the two nodes. Our simulation results show that the geographical structure changes the network topology. The synchronization tendency is enhanced and the average spatial length of edges is enlarged when the node can randomly connect to the further one. Analytic results support our understanding of the phenomena. 相似文献
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中国铁路客运系统可以采用两种不同的网络构建方式来描述. 一种是以铁路的站点作为“节点”,并以轨道作为“边”,这样生成的网络称为铁路地理网. 统计显示该网络的平均群聚系数〈C〉近似为零,故该网络为树状网络. 另一种是以站点作为“节点”,任意两个站点间只要有同一列车在这两个站点停靠,就可以认为这两个站点间有连线,这样生成的网络称为车流网. 统计显示该网络有较大的平均群聚系数和较小的平均网络距离〈d〉,而且该网络节点的度分布基本上服从无标度幂律分布,故车流网为具有无标度性质的小世界网络.
关键词:
铁路地理网
车流网
小世界
无标度分布 相似文献
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以二维自对偶场为研究对象,给出二维自对偶场方程解流形上的辛结构,并证明该辛结构是Poincare不变的.二维自对偶场的拉氏量L是一分量共形群不变的.上述辛结构在该共形群下亦保持不变.并给出二维自对偶场守恒流的几何表述. 相似文献
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Exact solutions for the coupled Klein-Gordon-Schrǒdinger equations using the extended F-expansion method 下载免费PDF全文
The extended F-expansion method or mapping method is used to construct exact solutions for the coupled KleinGordon Schr/Sdinger equations (K-G-S equations) by the aid of the symbolic computation system Mathematica. More solutions in the Jacobi elliptic function form are obtained, including the single Jacobi elliptic function solutions, combined Jacobi elliptic function solutions, rational solutions, triangular solutions, soliton solutions and combined soliton solutions. 相似文献
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