The Synchronization of Circulative Networks
Tao Wang · Journal of Hunan City University · 2009
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 addition,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.