Hjem
Matematisk institutt
Fellesseminar

Existence and stability of solutions in a neural continuum network model

Hovedinnhold

Speaker: Anna Oleynik, postdoc as a part of the STEMM-CCS project

Existence and stability of solutions in a neural continuum network model

Abstract: Neural (or cortical) fields constitute a special class of models where the neuronal tissue is treated as a continuous structure. These models are formulated as integral or integro-differential equations and describe nonlinear interactions between neuron masses. In this talk we will consider the most well-known and simplest model of this type, the so called Amari model. We will briefly discuss its well-posedness depending on the type of nonlinearity involved, and then focus on mathematical challenges related to the existence and Lyapunov stability of stationary solutions of special type(s).