Cluster formation in populations of coupled chaotic neurons

We investigate cluster formation in populations of coupled chaotic model neurons under homogeneous global coupling, and distance-dependent coupling, where the coupling weights between neurons depend on their relative distance. Three types of clusters emerge for global coupling: synchronized cluster, two state cluster and antiphase cluster. In addition to these, we find a novel three state cluster for distance-dependent coupling, where the population splits into two synchronized groups and one incoherent group. Lastly, we study a system with random inhomogeneous coupling strengths, in order to discern if the special pattern found in distance-dependent coupling arises from the underlying lattice structure or from the inhomogeneity in coupling.