Fig. 2

Stochastic pattern formation in a scalar neural network. a Plot of Fourier transformed weight distribution as a function of wavenumber k for various values of gain \(\mu=f'(u_{0})\): \(\mu=0.12,0.15,0.18,0.2,0.22\). b Sketch of corresponding power spectra \(S(k,0)\), showing the peak in the spectrum at the critical wavenumber \(k_{c}\) for \(\mu <\mu_{c}\). Parameter values are \(\sigma^{2}=4\), \(A=0.5\), \(F_{0}=20\), \(\eta=2\), \(\kappa=0\)