连接图稳定性方法及其应用

Connection Graph Stability Method and Its Application

运用连接图稳定性方法分析单向耦合结构与双向耦合结构的环状网络,在断开一条边从环状变为链状时同步能力的变化.从双向环状耦合结构到链状结构同步能力是减弱的,在N很大时同步能力约为原来的1/3.数值仿真定性地验证了上述结论.还发现该方法对于单向耦合结构网络有一定的局限性.

This paper applies the connection graph stability method to the ring networks with unidirectional or bidirectional coupling structure.The method clarifies that the synchronizing ability of the two different structures is completely different by cutting a link.The synchronizing ability will decrease if the change is from bidirectional ring to bidirectional chain.The change on synchronizing ability will be one third of the original if the number of N is large enough for the first case.The numerical simulation testify qualitatively the results.This paper also discovers the limitation of this method to unidirectional coupling networks.