本文采用Kuramoto相位振子作为网络节点进行同步研究。以序参量作为同步性能的描述指标,首先仿真研究了BA无标度网络中控制增益对同步性能的影响,得出了网络实现全局同步的临界耦合强度。然后比较研究了ER随机网络、Nw小世界网络和BA无标度网络几种不同网络结构下的Kuramoto振子系统的同步性能,研究表明BA无标度网络中最容易出现部分同步行为,但ER随机网络更容易实现全局同步,NW小世界网络的同步性能在三种网络结构中是最差的。
This paper discusses the network synchronization with the Kuramoto phase oscillator being used as an individual node. The order parameter is taken as an index for scaling the network synchronizability. Firstly,the effect of the coupling strength is studied on the synchronizability of a BA scale-free network and the critical coupling strength for global synchronization can be obtaied. Then,the synchro-nizability of three kinds of networks are compared which are ER random networks,NW small world net-works and BA scale-free networks. The results show that BA scale-free networks are prone to have partial synchronization, ER random networks are much easier to realize global synchronization and NW small-world networks are relative difficult to realize synchronization among the three topologies.