Fig. 5.

Codimension-two bifurcation diagrams showing the stability regions for the swimming (light grey and red) and synchrony (light red) limit cycles under variation of ($w_{\mathrm{inh}}$, $w_{\mathrm{ampa}}$) in (A) and ($w_{\mathrm{inh}}$, $w_{\mathrm{nmda}}$) in (B). Superscripts − and + refer to subcritical and supercritical bifurcations, respectively. To clarify the stability of the limit cycles for low values of $w_{\mathrm{ampa}}$, we computed the codimension-one bifurcation diagram at fixed value $w_{\mathrm{ampa}}=10$ nS shown in Fig. 6 (orange dotted line). Bifurcation points B and D switch the criticality of the PD bifurcation (subcritical to supercritical). The LPD point is a fold-flip bifurcation point. At this point, a pitchfork bifurcation curve (PFK, blue line) interacts with a PD line and both exchange criticality