2 papers
math.DS2018
Existence and Uniqueness of Traveling Fronts in Lateral Inhibition Neural Fields with Sigmoidal Firing Rates
Alan Dyson
We rigorously prove the existence of traveling fronts in neural field models with lateral inhibition coupling types and smooth sigmoidal firing rates. With Heaviside firing rates a…
math.DS2018
Traveling Wave Solutions to a Neural Field Model With Oscillatory Synaptic Coupling Types
Alan Dyson
In this paper, we investigate the existence, uniqueness, and spectral stability of traveling waves arising from a single threshold neural field model with one spatial dimension, a…