Existence and properties of stationary solution of dynamical neu...

In this paper, we discuss the existence and properties of stationary solution of Amari's dynamical neural field model in R(n). Amari's model has been extensively applied in psychophysics, neurophysiology, machine vision and cognition, where its stationary solution plays an important role. Though many problems in these applications are presented in high dimensional spaces, most investigations on the stationary solutions of neural field are in R and R(2). Under certain general assumptions on neura