Cluster formation in populations of coupled chaotic neurons
1 Institute of Mathematical Sciences, C.I.T. Campus, Tharamani, Chennai 600113, India
2 Indian Institute of Science Education and Research (IISER) Mohali, Knowledge City, SAS Nagar, Sector 81, Manauli PO 140 306, Punjab, India
Revised: 3 May 2013
Published online: 11 July 2013
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 anti-phase 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.
© EDP Sciences, Springer-Verlag, 2013