复杂网络的动力学和谱性质
Dynamical and spectral properties of complex networks
摘要：
复杂网络的动力学性质与描述网络连通性模式的拉普拉斯矩阵的谱性质有关。特别是我们计算的同步时间为不同类型的网络和不同的动态。我们发现，同步时间的主要依赖是在最小的非零特征值的拉普拉斯矩阵，在其他建议的邻接矩阵的频谱方面。然后，这种拓扑性质变得与动力学最相关。
英文摘要：
Dynamical properties of complex networks are related to the spectral properties of the Laplacian matrix that describes the pattern of connectivity of the network. In particular we compute the synchronization time for different types of networks and different dynamics. We show that the main dependence of the synchronization time is on the smallest nonzero eigenvalue of the Laplacian matrix, in contrast to other proposals in terms of the spectrum of the adjacency matrix. Then, this topological property becomes the most relevant for the dynamics.
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