Synchronization in large directed networks of coupled phase oscillators
arXiv:cond-mat/0509255 · doi:10.1063/1.2148388
Abstract
We extend recent theoretical approximations describing the transition to synchronization in large undirected networks of coupled phase oscillators to the case of directed networks. We also consider extensions to networks with mixed positive/negative coupling strengths. We compare our theory with numerical simulations and find good agreement.