Leyva I, Navas A, Sendiña-Nadal I, Buldú J M, Almendral J A, Boccaletti S
Complex Systems Group, Rey Juan Carlos University, Móstoles E-28999, Madrid, Spain.
Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Dec;84(6 Pt 2):065101. doi: 10.1103/PhysRevE.84.065101. Epub 2011 Dec 6.
We report synchronization of networked excitable nodes embedded in a metric space, where the connectivity properties are mostly determined by the distance between units. Such a high clustered structure, combined with the lack of long-range connections, prevents full synchronization and yields instead the emergence of synchronization waves. We show that this regime is optimal for information transmission through the system, as it enhances the options of reconstructing the topology from the dynamics. Measurements of topological and functional centralities reveal that the wave-synchronization state allows detection of the most structurally relevant nodes from a single observation of the dynamics, without any a priori information on the model equations ruling the evolution of the ensemble.
我们报告了嵌入在度量空间中的网络可兴奋节点的同步情况，其中连接特性主要由单元之间的距离决定。这种高度聚集的结构，再加上缺乏长程连接，阻碍了完全同步，反而产生了同步波。我们表明，这种状态对于通过系统进行信息传输是最优的，因为它增加了从动力学重建拓扑结构的选项。拓扑中心性和功能中心性的测量表明，波同步状态允许从对动力学的单次观测中检测出结构上最相关的节点，而无需任何关于控制整体演化的模型方程的先验信息。
