Fig 3. Appearance of three dynamical regimes in excitatory-inhibitory rate networks, dynamical mean field predictions.

Threshold-linear activation function saturating at different values of the upper bound ϕ_max. a-b-c. DMF characterization of the statistics for different values of the saturation value ϕ_max. In a, input current variance, in b, input current mean, in c, mean firing rate. Vertical grey lines indicate the critical couplings J_C and J_D. d. Mean firing rate dependence on the upper bound ϕ_max, for three coupling values corresponding to the three different dynamical regimes (indicated by triangles in panel c). Dots show time and population averages performed on 4 realizations of simulated networks, N = 6000. Choice of the parameters: g = 5, C = 100. e-f. Phase diagram of the dynamics: dependence on the connectivity in-degree C and on the inhibition dominance parameter g. All other parameters are kept fixed.