Type I vs. type II excitable systems with delayed coupling

Excitable and oscillatory dynamics of delayed locally coupled type I and type II excitable systems is analyzed. Diffusive and sigmoid coupling have been considered. It is shown that the stability and the patterns of exactly synchronous oscillations depend on the type of excitability and the type of coupling. However, within the same class, characterized by the excitability type and the coupling the dynamics qualitatively depends only on whether the number of units is even or odd.