Skip to main content
Figure 7 | The Journal of Mathematical Neuroscience

Figure 7

From: From invasion to extinction in heterogeneous neural fields

Figure 7

Propagating front in a network with a linear heterogeneity ( ε2 = 0.01). Propagating front in a network with a linear heterogeneity in the synaptic weights, J(x) = 1+ε(x-l), l = 10, and ε2 = 0.01. Other parameters as in Figure 5. (a) Snapshots of wave profile at time intervals of width Δt = 5 from t = 10 to t = 40. (b) Space-time contour plot. Wave speed increases approximately linearly with time, so the position x(t) of the front evolves according to a downward parabola. Theoretical curve based on the perturbation calculation is shown by the solid curve. The trajectory of the front in the corresponding homogeneous case (see Figure 5b) is indicated by the dashed curve.

Back to article page