Figure 2.

Velocity dispersion curves and asymptotic front profile. (a) Velocity dispersion curves c = c(λ) for a pulled front solution of the neural field equation (Equation 2.1) with piecewise linear firing rate function (Equation 2.3) and a Gaussian weight distribution (Equation 2.6) with amplitude W₀. Here, σ = 1.0, κ = 0.4, and W₀ = 1, 2, 1.5, 2.0, 2.5, 3.0. Black dots indicate a minimum wave speed c₀ for each value of W₀. (b) Asymptotic front profile in the case W₀ = 1.2. Inset: linear displacement X(t) of a level set of the front as a function of time t.