环状自相似结构复杂动力网络模型及其同步

Model and Synchronization of Complex Dynamical Network with Self-Similar Ring Structure

提出了一种新型的复杂动力网络及其演化网络模型——环状自相似结构复杂动力网络模型,这是一种由动力节点通过单变量线性耦合构成的复合环状网络,只需要适当调整耦合强度就可以实现网络的完全同步。从理论上分析了网络的同步能力,并以节点为混沌Lorenz系统的网络为例,通过数值仿真验证了网络的同步能力。

In this paper, a new complex dynamical network and its evolution model are proposed. The complex dynamical network with self-similar ring structure is a complex ring network with linear coupling of single variable of nodes. It can achieve complete synhronization by means of adjusting the coupling strength. The synchro- nous ability of the network is investigated theoretically. The numerical simulations with the chaotic Lorenz system as the nodes are given to verify the synchronous ability of the network.