A1,A2) Cluster 1 isolated and after coupled to cluster 2. B1) Neurons in cluster 1 firing out of phase B2) Cluster 1 neurons firing synchronously. (C) Examples of characteristic shapes of first and second order phase resets with Type II inhibition. D) Qualitative stability results for two clustered solution. Black bar(observed) obtained by integrating full system of differential equations for a range of conductance values. Compared to analysis in the current study denoted by purple bar. E) Maximum eigenvalues vs. conductance. greater than one for isolated cluster (blue dots) and less than one for the coupled cluster (purple dots).