Estimating Topology of Discrete Dynamical Networks

摘要

In this paper,by applying Lasalle's in variance principle and some results about the trace of a matrix,we propose a method for estimating the topological structure of a discrete dynamical network based on the dynamicalevolution of the network.The network concerned can be directed or undirected,weighted or unweighted,and the localdynamics of each node can be nonidentical.The connections among the nodes can be all unknown or partially known.Finally,two examples,including a Henon map and a central network,are illustrated to verify the theoretical results.