Figure 4

Zoomed versions of the curves \(\Gamma _{1}\) and \(\Gamma _{2}\) in Fig. 2 and Fig. 3 representing the weakly modulated case, i.e., Set 1 in Table 2, show the closed orbit structure. The connectivity functions are given by (8) with (21), the averaged synaptic footprints are fixed as (27). In (a) and (c) the parameterized curves \(\Gamma _{1}\) and \(\Gamma _{2}\) in the invariant plane defined by means of (44) and (45) are shown for \(\tau =2\) and Set A (cf. Table 1). In (b) and (d) the curves \(\Gamma _{1}\) and \(\Gamma _{2}\) are 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 \(\Gamma _{1}\), \(\eta =k^{2}=0\)