摘要
根据生物系统中的群体感应思想构造了一种新型时滞复杂动态网络。其特点为网络各节点仅由与外部扩散信号感应的方式连接,感应过程中存在时间延迟。利用Lyapunov稳定性理论证明了当系统参数满足一定条件时,通过控制感应强度可实现网络中各节点运动的完全同步。数值仿真结果表明,该网络可在周期态达到同步,并且随感应强度不同,周期解的复杂程度不同。
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.
出处
《江南大学学报（自然科学版）》
CAS
2012年第2期226-230,共5页
Joural of Jiangnan University (Natural Science Edition)
基金
国家自然科学基金项目(60875036)
国家自然科学基金项目(11002061)
关键词
复杂动态网络
时滞
群体感应
感应强度
完全同步
complex dynamical network
time-delay
quorum sensing
quorum sensing strength
complete synchronization
