Adaptive synchronization of bipartite dynamical networks with distributed delays and nonlinear derivative coupling

This paper investigates the synchronization in a class of bipartite dynamical networks with distributed delays and nonlinear derivative coupling. Based on Lyapunov stability theory, some useful synchronization criteria are established for the two coupled bipartite dynamical networks by constructing effective adaptive feedback controllers and update laws. The numerical simulations are provided to illustrate the effectiveness of the theoretical results obtained in this paper.

Research highlights
► We introduce a general model of bipartite dynamical network with distributed delays and nonlinear derivative coupling.
► The synchronization of two bipartite dynamical networks is investigated by adaptive feedback technique.
► Some simple controllers and update laws have been constructed and subsequently added to the response network to make it synchronous with the drive network.