Artificial cognitive system with amari-type dynamics of a neural field

摘要

Efficiently simulating an Amari dynamics of a neural field a, the Amari dynamics being specified by the equation (1) where a(x,t) is the state of the neural field a, represented in a spatial domain (SR) using coordinates x,t, i(x,i) is a function stating the input to the neural field at time t, f[.] is a bounded monotonic transfer function having values between 0 and 1, F(x) is an interaction kernel, τ specifies the time scale on which the neural field a changes and h is a constant specifying the global excitation or inhibition of the neural field a. A method comprises the step of simulating an application of the transfer function f to the neural field a. Simulating an application of the transfer function f comprises smoothing the neural field a by applying a smoothing operator (S).