在传统单权值复杂网络的基础上,建立了一个具有多重权值的复杂网络模型.同时根据网络拆分的思想,将含有多重权值的复杂网络拆分为若干个单权值的子网络.进而根据Lyapunov稳定性理论,研究了多重权复杂网络的全局自适应同步,给出了网络的同步准则,并以Lorenz系统为例,通过数值仿真验证了结论的有效性.
On the basis of traditional single weighted complex network, this paper establishes a new complex network model with multiple weights. And according to the method of network split, we split the multi-weights complex network into several different single weighted complex networks. Then by using Lyapunov stability theory, investigates the globally adaptive synchronization of the multi-weights complex networks, and gives the general conditions of adaptive synchronization. At last, taking Lorenz system for example, the simulation is performed to confirm the efficiency of the conclusion.