By means of numerical analysis conducted with the aid of the computer, the collective synchronization of coupled phase oscillators in the Kuramoto model in the connected regime of random networks of various sizes is studied. The oscillators synchronize and achieve phase coherence, and this process is not significantly affected by the level of connectivity of the network. If the probability that two oscillators are coupled is around the network connectivity threshold synchronization still occurs, although in a more attenuated way. If the size of the network is sufficiently large the oscillators have a phase transition.

翻译：通过计算机辅助的数值分析，研究了不同规模随机网络连通状态下Kuramoto模型中耦合相位振子的集体同步现象。振子能够实现同步并达到相位相干，且该过程不受网络连接水平的显著影响。当两个振子的耦合概率接近网络连通阈值时，同步现象依然存在，尽管同步程度有所减弱。若网络规模足够大，振子会发生相变。