Fig. 2

Prediction of Turing pattern formation in 1-D Wilson–Cowan cortex. (a) Dispersion curves corresponding to \(P=2.34\mbox{ mV}\). The real and imaginary (scaled by 2π) parts of dominant eigenvalues are plotted versus wavenumber q for three different values of inhibitory synaptic range constants \(\sigma_{EI, IE}\). Turing pattern is formed when the α-curve has positive excursions. (b) Corresponding color-coded spatio-temporal plot of 1-D cortex displaying the emergence of Turing pattern evolving from initial state of \(E\approx0.0859\mbox{ 1/ms}\) corresponding to \(P=2.34\mbox{ mV}\) and ${\sigma }_{EI,IE}=200\text{ μm}$