Abstract: 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,theeffect 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 synchronizability of three kinds of networks are comparedwhich are ER random networks,NW small world networks 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.

Key words: network topologies, network synchronizability, Kuramoto phase oscillators