Complete Synchronization of a New Complex Network with Time-Delay Based on Quorum-Sensing
Rong Zhang · Jiangnan daxue xuebao. Ziran kexue ban · 2012
The paper proposes a new complex network with time-delay according to the idea of quorum sensing.The feature of the network is no coupling between the nodes,but by the sense of an external signal and each node,time-delay exists in the sensing process.It is proved right based on Lyapunov stability theory that,when the system parameters satisfy certain conditions,nodes can achieve complete synchronization by controlling the quorum sensing strength.The result of numerical simulation shows the nodes can achieve synchronization at periodic solutions,and complexity of the periodic solution is different with the different quorum sensing strength.