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Fig. 3 | The Journal of Mathematical Neuroscience (JMN)

Fig. 3

From: Neural Excitability and Singular Bifurcations

Fig. 3

Neural model (1): nullclines under variation of I which leads to the (singular limit) definition of \(I_{\mathrm{bif}}\): (Type I) \(I=I_{\mathrm{bif}}\) at a saddle-node bifurcation; (Type II) \(I=I_{\mathrm{bif}}\) at (singular) Andronov–Hopf bifurcation. In the transition from type II to type I, a cusp bifurcation appears as can be predicted by looking from the bottom pictures in this figure

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