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A system of ODE's is used to attempt an approximation of the dynamics of two delayed coupled FitzHugh-Nagumo excitable units, described by delay-differential equations. It is shown that the codi- mension 2 generalized Hopf bifurcation acts as the organizing center for the dynamics of ODE's for small time-lags. Furthermore, this is used to explain important qualitative properties of the exact dynamics for small time-delays.

BIFURCATIONS DUE TO SMALL TIME-LAG IN COUPLED EXCITABLE SYSTEMS