Parameter identification of dynamical networks with community structure and multiple coupling delays

In many real systems, there exists community or hierarchical structure. When information or instruction transmits from one community to another or from one level to another, there may exist delays, i.e., the coupling delays between two nodes of different communities or layers. In view of this, chaotic dynamical networks with community structure and multiple coupling delays are studied in this paper. By viewing the coupling delays as unknown parameters, an approach based on synchronization is proposed to identify these unknown parameters. The sufficient conditions for the realization of parameter identification are obtained. Numerical examples verify the effectiveness of this method.