2-循环网络的同步性改进

通过连通图稳定性方法（Connection Graph Stability Method），探讨了2-循环网络的同步性问题．应用数论方法得到了该循环网络满足同步性的充分条件，该充分条件由长边和短边2个参数调控，当两参数值的差越小，则循环网络具有更好的同步性．通过4．近邻网络和交叉双循环网络验证了该结果．结果对局域网络、电信网络及其他分布式计算系统等应用的拓扑结构设计具有一定的意义．

The Synchronization of Circulative Networks

In this paper, the synchronization of 2-circulative network is investigated through the Connection Graph Stability method. By the number theory, a sufficient condition is founded for the synchronization of 2-circulative networks. The condition is measured by two parameters, long edge and short edge, and by adjusting their value, the synchronizability of the network can be improved, i.e., smaller the difference of them may result in better synchronization. In addilion, by taking two examples, 4-nearest network and crossed double cycles, which are the special cases of 2-circulant network, our result is illustrated. Our result may be of applications in topology designs of technological networks, such as local area networks, telecommunication networks and other distributed computer systems.