The existence and global exponential stability of periodic solution for a neutral coupled system on networks with delays

In this paper, we establish sufficient conditions for the existence and global exponential stability of periodic solution to a type of neutral coupled system on networks with delays. The key to prove the existence of periodic solutions is using the combined method of graph theory, coincidence degree theory and Lyapunov functional method. And the sufficient conditions are easy to be checked. Finally, a numerical simulation is carried out to show the correctness of our main results.