Wilson-Cowan (1972): τ_E dE/dt = −E + S(w_EE⊛E − w_EI⊛I + h_E)
Mexican-hat connectivity: Short-range excitation, long-range inhibition → Turing instability → cortical waves and "bump attractors" (working memory).
Phenomena: Traveling waves (γ-band ~40Hz), standing waves, spatially localized bumps (as in visual hallucinations, migraine aura).
Red = excitatory activity; Blue = inhibitory. Patterns self-organize from noise.