复杂动力网络结构识别的某些新进展

New Progress on Structure Identification of Complex Dynamical Networks

复杂动力网络的结构识别是目前复杂网络研究中的一个前沿重要方向。主要介绍基于自适应同步的网络动力学参数和拓扑识别方法,指出动力学信息对于结构识别并非充分的,为了识别网络拓扑结构,需要满足经内连耦合动力学映射后的一簇函数组在同步流形上线性无关的条件。进一步分析了阻碍网络拓扑识别的因素,并介绍了网络拓扑识别的某些最新的工作。

Nowadays, structure identification of complex dynamical networks is an important topic in the research field of complex networks. The paper introduces a method based on the synchronization theory to identify uncertain systems＇ parameters and unknown topological structures of complex dynamical networks. It also points out that time series of nodes＇ dynamics are not sufficient for a correct identifying result. It is necessary for the group of functions obtained by inner coupling mappings to satisfy linear independence on the synchronized manifold. Furthermore, key factors that obstruct the structure identification are analyzed. And some newest progress on this issue is introduced, which includes some related work of our group.