基于一种新的多重权重复杂网络模型的自适应同步研究

Research on Adaptive Synchronization Based on Complex Network with Multi-weights

在传统的单权复杂网络建模方法的基础上,建立一种新的多重权重复杂网络模型。根据不同性质的权重,通过网络拆分的思想,将多重权重复杂网络拆分为几个性质不同的子网络。进而研究具有多重权重复杂网络的全局自适应同步,给出网络自适应同步的一般条件。最后以Lorenz系统为例,验证该方法的有效性。

On the basis of traditional modeling approaches of single weight,a new complex network model was established.According to the weight nature difference and the idea of network split,we split the complex networks with multi-weights into several different sub-networks with single weight.Then we investigate the globally adaptive synchronization of the complex networks with multi-weights,and give the general conditions of adaptive synchronization.At last,taking Lorenz system for example,we prove the validity of the presented method.