Figure 18.

A, Coexistence of SLEs and RSE. The simulations are performed without noise. SLEs and a stable LC coexist for m  =  0.5 and x₀ = −1.6 ($I_{ex{t}_2}=0.45$). SLEs occur through a fold/homoclinic bifurcation. The arrows indicate the direction of trajectories. For easier visualization, we plot generalized coordinates (X, Y) corresponding to ($-35x_1+x_2,\hspace{0.17em}15y_1$) for seizures (top) and to ($-0.5x_1+x_2,\hspace{0.17em}0.1y_1$) for LC (bottom). LC is characteristic of RSE. B, C, Time series of SLEs (B) and LC (C). Parameter settings correspond to region VIII in Figure 31 and to region 13 in Figure 32. A, Top, I.C = [0 −5 3 0 0 0.01] and r  =  0.035. A, Bottom, I.C = [0 −5 −1 0 0 0.01] and r  =  0.035. The coexistence of LC and separatrix (S) can be found in area II [Fig. 12A].