Fig. 4

Error in calculation error of the value of $I_m$ where upper Hopf bifurcation occurs. Error in the calculation of the value of $I_m$ at which the upper Hopf bifurcation occurs using the midpoint rule (red stars) and the Gaussian quadrature (blue circles). Other parameters: $g_{\mathrm{syn}}=0.3$, $I_s=7.5$. The midpoint rule error decays as $1/N^2$. For $10<N$, the error using the Gaussian quadrature is dominated by the precision with which the Hopf bifurcation can be located, hence the plateau.