Modular synchronization in complex networks - art. no. 047101
Modular synchronization in complex networks - art. no. 047101
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DOI：
10.1103/physreve.72.047101
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发表时间：
2005-10-01
影响因子：
2.4
通讯作者：
Kahng, B
中科院分区：
文献类型：
--
作者：
Oh, E;Rho, K;Kahng, B
研究了两种不同类型的模块化复杂网络上改进的Kuramoto模型的同步跃迁（ST）。发现ST取决于模间连接的类型。对于分散（集中式）互模连接的网络，ST发生在有限耦合常数下（表现异常）。这些不同的特征分别在酵母蛋白相互作用网络和互联网中被发现。此外，通过对具有分散互模连接的人工网络进行有限尺度尺度分析，我们得到了ST阶参数的指数为β近似于1，不同于相同度分布但没有模结构的无标度网络的β (MF)近似于1/2，对应于平均场值。
We study the synchronization transition (ST) of a modified Kuramoto model on two different types of modular complex networks. It is found that the ST depends on the type of intermodular connections. For the network with decentralized (centralized) intermodular connections, the ST occurs at finite coupling constant (behaves abnormally). Such distinct features are found in the yeast protein interaction network and the Internet, respectively. Moreover, by applying the finite-size scaling analysis to an artificial network with decentralized intermodular connections, we obtain the exponent associated with the order parameter of the ST to be beta approximate to 1 different from beta(MF)approximate to 1/2 obtained from the scale-free network with the same degree distribution but the absence of modular structure, corresponding to the mean field value.