Fig. 14

Computation of the saddle slow manifold \(S^{s}_{\varepsilon }\) of the Hodgkin–Huxley model (32) with \(\varepsilon =0.0083\) and \(I=9.74\). Panels (a) and (b) show two submanifolds of \(S^{s}_{\varepsilon }\) (green surfaces) together with their respective boundary conditions \(\widetilde{\varSigma }_{0}\) and \(\widetilde{\varSigma }_{1}\) (blue planes); they are rendered from the orbit segments shown as thick curves (black and green, respectively). Panel (c) shows both submanifolds of \(S^{s}_{\varepsilon }\) together as a single surface