Excitable and oscillatory dynamics in an in-homogeneous chain of excitable systems with delayed coupling

Abstract

Bifurcations and typical dynamics of an in-homogeneous chain of excitable systems with delayed coupling are compared with the corresponding homogeneous system, recently studied in the Ref. [Phys. Rev. E 67 (2003) 066222]. It is shown that the typical features of the long term dynamics are robust with respect to small random in-homogeneity in the parameters. However, some atypical features related to more complicated bifurcations of the stationary solution could be different.