Fig. 12From: Bifurcations of Limit Cycles in a Reduced Model of the Xenopus Tadpole Central Pattern GeneratorStability of the attractors of after symmetry breaking (A) Projection of the three stable limit cycles (SwC̅, SyC̅ and \(\overline{2-\mathrm{SyC}}\)) to the phase plane of dINs voltages and zoom of selected regions (black boxes). The green diagonal line shows the loss of mid-line symmetry of the stable limit cycles. The vector of parameters (\(w_{\mathrm{inh}}, w_{\mathrm{ampa}}, w_{\mathrm{nmda}},\Delta,d\)) used for the SwC̅ case are (\(60,10,10,100,6\)), for the SyC̅ case are (\(25,12,10,10^{-4},6\)), and for the \(\overline{2-\mathrm{SyC}}\) case are (\(40,10,10,10^{-4},6\)) (B) Period of the attracting limit cycle found by numerical simulation at varying (\(w_{\mathrm{inh}}, w_{\mathrm{ampa}}\)) and fixed \(w_{\mathrm{nmda}} =10\) nS in cases (i)–(ii) and at varying (\(w_{\mathrm{inh}}, w_{\mathrm{nmda}} \)) and fixed \(w_{\mathrm{ampa}} =12\) nS in cases (iii), (iv). Initiation parameters for cases (i)–(iii) are \(\Delta=50 \) and \(d=6\), while for cases (ii)–(iv) are \(\Delta= 10^{-4}\) and \(d=6\)Back to article page