McGraw Patrick N, Menzinger Michael
Department of Chemistry, University of Toronto, Toronto, Ontario, Canada M5S 3H6.
Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Jul;72(1 Pt 2):015101. doi: 10.1103/PhysRevE.72.015101. Epub 2005 Jul 7.
By manipulating the clustering coefficient of a network without changing its degree distribution, we examine the effect of clustering on the synchronization of phase oscillators on networks with Poisson and scale-free degree distributions. For both types of networks, increased clustering hinders global synchronization as the network splits into dynamical clusters that oscillate at different frequencies. Surprisingly, in scale-free networks, clustering promotes the synchronization of the most connected nodes (hubs) even though it inhibits global synchronization. As a result, they show an additional, advanced transition instead of a single synchronization threshold. This cluster-enhanced synchronization of hubs may be relevant to the brain that is scale-free and highly clustered.
通过在不改变网络度分布的情况下操纵网络的聚类系数，我们研究了聚类对具有泊松和无标度度分布的网络上相位振荡器同步的影响。对于这两种类型的网络，随着网络分裂成以不同频率振荡的动态簇，聚类的增加会阻碍全局同步。令人惊讶的是，在无标度网络中，聚类促进了连接最紧密的节点（枢纽）的同步，尽管它抑制了全局同步。结果，它们显示出一个额外的、提前的转变，而不是单一的同步阈值。这种枢纽的聚类增强同步可能与无标度且高度聚类的大脑有关。
