Title: The emergence of stable spatiotemporal patterns in a mean-field model for neuronal activity

Abstract: In this work we use numerical simulations and bifurcation theory techniques to study the emergence of stable spatiotemporal patterns in a mean-field model for neuronal activity. We identify sufficient conditions on the model’s parameters for the generation of traveling waves (TWs), standing waves (SWs) and modulated waves (MWs). We show how the relative contribution of the intrinsic cell dynamics, the network structure, and certain features of a feedback connectivity loop (slow vs fast and weak vs strong, negative feedback component) lead to the selection of TW, SW, and MW spatiotemporal patterns.