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Fig. 11 | The Journal of Mathematical Neuroscience

Fig. 11

From: A showcase of torus canards in neuronal bursters

Fig. 11

Two parameter bifurcation diagram of the fast system of Equations 6a-6c. The loci of saddle-nodes of fixed points SNf merge in a cusp bifurcation C at (y, g Ca )≃(0.1133,0.7016), which creates the locus of Hopf bifurcations H. The saddle-node of periodic orbits SNp emerge from the Bautin bifurcation B at (y, g Ca )≃(0.3238,0.6418) and extend to the saddle-node separatrix loop bifurcation SNSL at (y, g Ca )≃(0.06972,1.397), which also creates a locus of homoclinic bifurcations HC. There is a SNIC bifurcation on the segment of SNf between C and SNSL. Plotting conventions follow Figure 6.

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