Adaptive synchronization of two nonlinearly coupled complex dynamical networks with delayed coupling

This paper investigates the adaptive synchronization between two nonlinearly delay-coupled complex networks with the bidirectional actions and nonidentical topological structures. Based on LaSalle’s invariance principle, some criteria for the synchronization between two coupled complex networks are achieved via adaptive control. To validate the proposed methods, the unified chaotic system as the nodes of the networks are analyzed in detail, and numerical simulations are given to illustrate the theoretical results.

Research highlights
► We investigate the outer synchronization of two nonlinear coupled complex network.
► We not only consider their own network of coupling, but also take into account the bidirectional actions and time delays.
► Nonidentical topological structures are also considered.