Effects of degree distributions in random networks of type-I neurons

We consider large networks of theta neurons and use the Ott/Antonsen ansatz to derive degree-based mean field equations governing expected dynamics networks. Assuming random connectivity we investigate effects varying widths in- out-degree distributions on excitatory or inhibitory synaptically coupled networks, gap junction For are independent distribution. Broadening in-degree distribution destroys oscillations in decreases range bistability neurons, broadening degree varies values parameters at which there is an onset collective oscillations. Many results shown also occur more realistic neurons.