中文摘要：

研究以Kuramoto位相振子作为小世界网络节点的动力学,考察初始角速度加权耦合方式对网络同步的影响。数值模拟结果显示,当以相连接的两个振子初始自旋角速度的比值作为加权耦合系数时,网络序参量随耦合系数的增加不再是单调递增的关系,而是在某一确定耦合强度k附近网络同步达到最大值;继续增加耦合系数,网络序参量反而减小,网络的同步性能减弱。将该耦合方式应用于无标度网络,得到相似结论。

英文摘要：

Dynamics of frequency-weighted network of Kuramoto oscillators is studied in this paper. We employ frequency（co）-weighed coupling and perform extensive simulations. The results show that when the coupling coefficient is set as the ratio of the natural frequencies of the two connected oscillators, the order parameter will not increase monotonically with the increasing coupling coefficients. On the contrary, the order parameter is reaching the maximum at a properly coupling coefficient. And if the coupling coefficient is continuing to increase, the order parameter will decrease. The synchronization of the network is reduced. At the same time, we put this way of coupling to the scale-free network, and get the same result.