Neural Field — Bump Attractor (Ring Model)

A ring attractor neural field with Mexican-hat connectivity (local excitation, distal inhibition) supports stable "bumps" of activity encoding spatial working memory. Click the ring canvas to place a new input stimulus.

Excit. width σ_e 0.40 Inhib. width σ_i 0.90 Input strength 0.80 Noise 0.020

τ ∂u/∂t = −u + ∫W(θ−θ')f(u(θ'))dθ' + I(θ,t) | W(φ) = A_e exp(−φ²/2σ_e²) − A_i exp(−φ²/2σ_i²)