Figure 3

The parameterized curves \(\Gamma _{2}\) defined by means of (44) and (45). The connectivity functions are given by (8) with (21), the averaged synaptic footprints are fixed as (27). In (a) \(\tau =2\) for the firing rate function corresponding to Set A (cf. Table 1). In (b) the curve \(\Gamma _{2}\) is shown for \(\tau =4.4\) and Set B (cf. Table 1). The black bullet points • in (a) and (b) are the initial points of the curves \(\Gamma _{2}\), \(\eta =k^{2}=0\). The heterogeneity parameters producing the black, red, green, and blue curves are Set 1, Set 2, Set 3, and Set 4 in Table 2, respectively. The decay rates corresponding to (a) and (b) are plotted in (c) and (d), respectively. Zoomed black curves corresponding to Set 1 are presented in (c) and (d) of Fig. 4