Order parameters and synchronization of FitzHugh—Nagumo small-world networks

This paper numerically investigates the order parameter and synchronisation in the small world connected FitzHugh--Nagumo excitable systems. The simulations show that the order parameter continuously decreases with increasing D, the quality of the synchronisation worsens for large noise intensity. As the coupling intensity goes up, the quality of the synchronisation worsens, and it finds that the larger rewiring probability becomes the larger order parameter. It obtains the complete phase diagram for a wide range of values of noise intensity D and control parameter g.