Skip to main content
Fig. 1 | The Journal of Mathematical Neuroscience

Fig. 1

From: Interface dynamics in planar neural field models

Fig. 1

Labyrinthine structure emerging from (1) and (20) with parameters β=0.5, γ=4 and Heaviside threshold h=0.115. The initial spot of radius R=12 has a mode four instability, cf. Figure 4. This is primed by perturbing R with 0.5cos(4θ). Rows A show u and the colorbar below indicates its values. Rows B illustrate the evolution of the interface (u=h, golden outline) due to the normal velocity of the boundary (green arrows, to scale but enlarged by a factor 50). The Liapunov function E L i a p . of (2) is noted at all eight time steps. See also the video in Additional file 1.

Back to article page