Fig. 6
From: Noise-Induced Precursors of State Transitions in the Stochastic Wilson–Cowan Model
Temporal and spectral precursors of a phase transition. Noise-induced fluctuations of Wilson–Cowan 1-D cortex is studied via the temporal autocorrelation (tACC) and the spatial power spectral density (sPSD). Numerical simulation results (black) are compared with theoretical predictions (red) assuming Ornstein–Uhlenbeck stochastics following Gardiner [32]. Approach to (a) saddle-node bifurcation; (b) Hopf instability; (c) Turing instability; (d) mixed-mode oscillations