Topology and parameters recognition of uncertain complex networks via nonidentical adaptive synchronization

Topology plays an essential role in chaotic behaviors and evolution performances of a complex dynamical network. In this paper, recognition issue for unknown system parameters and topology of uncertain general complex dynamical networks with nonlinear couplings and time-varying delay is investigated through generalized outer synchronization. Firstly, the unknown system parameters and topology in master network are successfully estimated by a slave network. Secondly, the unknown system parameters of both two networks and the unknown topology of the master network are effectively evaluated in view of generalized outer synchronization based on an adaptive feedback control strategy. Two situations of parameters and topologies recognition are efficiently verified by illustrative numerical simulations.