随机-无标度统一混合演化网络模型

根据实际网络的特点,提出了一个随机-无标度统一混合演化网络模型.通过引入一个调节参数p将随机演化网络与(Barabási-Albert)无标度网络统一起来.理论计算和计算机模拟表明,当调节参数p从1变化到0时,网络结构实现了从随机演化网络到BA无标度网络的连续过渡.

Random-scale free unified evolving network model

The synchronization control problem of complex dynamical networks is considered by means of pinning strategy,that is,applying local linear feedback control to a small fraction of a large-scale network to ensure synchronization of the whole network.For a uniform complex dynamical network,linear matrix inequality(LMI) is adopted to derive a sufficient condition of synchronization.Analytical result shows that synchronization of heterogeneous networks may be easily reached by pinning nodes with big degree.Specifically,for a particular inner-coupling matrix,a sufficiently large coupling strength will ensure the whole network to achieve synchronization by pinning any one node of the network.Numerical simulations verify the analytical results.