Synchronization of delayed coupled reaction-diffusion systems on networks

In this paper, the exponential synchronization problem of delayed coupled reaction-diffusion systems on networks (DCRDSNs) is investigated. Based on graph theory, a systematic method is designed to achieve exponential synchronization between two DCRDSNs by constructing a global Lyapunov function for error system. Two different kinds of sufficient synchronization criteria are derived in the form of Lyapunov functions and coefficients of drive-response systems, respectively. Finally, a numerical example is given to show the usefulness of the proposed criteria. Copyright (c) 2014 John Wiley & Sons, Ltd.