Restrepo Juan G, Ott Edward, Hunt Brian R
Institute for Research in Electronics and Applied Physics, University of Maryland, College Park, Maryland 20742, USA.
Chaos. 2006 Mar;16(1):015107. doi: 10.1063/1.2148388.
We study the emergence of collective synchronization in large directed networks of heterogeneous oscillators by generalizing the classical Kuramoto model of globally coupled phase oscillators to more realistic networks. 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 the case of networks with mixed positive-negative coupling strengths. We compare our theory with numerical simulations and find good agreement.
我们通过将全局耦合相位振子的经典Kuramoto模型推广到更现实的网络，研究了异构振子的大型有向网络中集体同步的出现。我们将最近描述耦合相位振子的大型无向网络中同步转变的理论近似扩展到有向网络的情况。我们还考虑了具有正负混合耦合强度的网络情况。我们将我们的理论与数值模拟进行比较，发现吻合度良好。
