Fig. 9

Hopf bifurcation curves and period of the stable periodic orbit for three different values of $I_s$. Top: Hopf bifurcation curves (solid) and the curve on which the periodic orbit created in the rightmost Hopf bifurcation loses stability (circles, found from direct simulation). Bottom: period of the stable periodic orbit for three different values of $I_s$, the spread of the heterogeneity. For $I_s=8\text{and}14$, the curves are terminated at low $I_m$ when the periodic orbit loses stability to a more complex oscillation. $g_{\mathrm{syn}}=0.3$, $N=10$.