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Fig. 12 | The Journal of Mathematical Neuroscience (JMN)

Fig. 12

From: Neural Excitability and Singular Bifurcations

Fig. 12

Behaviour of (33) on the Poincaré disc for \(\varepsilon =0\), along the curve \(A_{\ell}(C)=-\frac{1}{16}+\frac{C}{4}\). At \(C=\frac{1}{2}\), the point \(p_{a}\) connects to the SN point \(p_{\pm}\). For \(C<\frac{1}{2}\) the \(p_{a}\) connects to the node \(p_{-}\), for \(C>\frac{1}{2}\), there is a sequence of two heteroclinic connections from \(p_{a}\) to \(p_{n}\), via the saddle \(p_{+}\), which is resonant at \(C=\frac{3}{4}\)

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