Figure 6

Strongly random connectivity kernels yielding noisy exponentially stable stationary states. Panel (a) shows K(x, y), (b)$L(x,y)=K(x,y)S^{\prime }\left(y\right)$, (c) spatio-temporal simulation starting close to the stationary state V₀, (d) stationary states V₀(x) (red) and V(x, t = 25) (black). Parameters are κ = 0.5, α = 0.88, W₀ = 1.75, σ = 0.15,θ = 3.0 yielding a maximum eigenvalue ε₁ = 0.95, i.e. close to the stability threshold.