近邻耦合网络中流耦合所导致的同步与结点动力学

Synchronization in A Nearest-neighbor Coupled Network and Motif Dynamics

通过观察最近邻耦合动力学网络的同步及其相应的结点动力学性质,来揭示网络中结点间互相输入流及网络规模对网络同步的影响,从而获得更多的网络同步动力学过程的细节.结果揭示了网络同步的条件,即小规模(结点个数较少)最近邻耦合动力学网络能够在混沌和周期态上实现精确同步,在超混沌向混沌转变的临界态附近实现广义同步.

The nearest-neighbor coupled dynamical network is studied to reveal the mechanism that how the networks＇ configuration and the quality of the verties influence the synchronization, and get more details about the synchronization in networks. The results show that the synchronization can be achieved for the networks of which the number of the vertices is not large （less than one hundred）. The network can be directed into periodic and chaotic synchronized states, and can also be led into generalized synchronization just as the so-called network dynamics has transformed into chaos from super chaos.