Wilson-Cowan Neural Populations
Excitatory (E) & Inhibitory (I) populations: phase plane, nullclines, limit cycles
Connectivity
w_EE
12.0
w_EI
8.0
w_IE
12.0
w_II
3.0
E→E: recurrent excitation. I→E: feedback inhibition. Balance controls dynamics.
Drive & Time
P (E drive)
1.5
Q (I drive)
0.5
τ_E (ms)
8.0
τ_I (ms)
4.0
External drive P, Q. Time constants control oscillation frequency.
Sigmoid
a (gain)
1.5
θ_E (thresh)
4.0
θ_I (thresh)
3.7
S(x)=1/(1+exp(-a(x-θ))). Threshold shifts equilibrium. High gain → bistability.