Polner Mónika (SZTE): Delayed neural field equations in two-dimensional spatial domains

University of Szeged, Bolyai Institute, Differential equations seminar

Abstract.
Neural field models describe the activity of neuronal populations at a mesoscopic level. We consider a single population of neurons, distributed over a two-dimensional bounded, connected, open region, whose state is described by their membrane potential. These potentials are assumed to evolve according to an integro-differential equation with space dependent delay. In this lecture we discuss the spectral properties of the linearized problem.