Construction of solutions of Eq. 18 for equal constants ce = ci and various firing thresholds Θe,Θi. The panels show the left hand side of (18), i.e. encoded as the thin dashed diagonal, and the right hand side of (18), i.e. decoded as thick solid lines. The plots are given for three parameters p1 < p2 < p3. The vertical coordinates of the curve points are the values of the left and right hand side of (18) and the horizontal coordinate is By this graphical construction, the crossing points of the dashed line and the solid line give the stationary solutions In a the firing threshold of excitatory neurons ΘE is lower than the threshold of inhibitory neurons ΘI, b shows the case ΘE = ΘI, c ΘE > ΘI and d ΘE ≫ ΘI