Fig. 15

Interaction between the slow manifolds \(S^{a}_{\varepsilon }\) and \(S^{s}_{\varepsilon }\) of system (32) with \(\varepsilon =0.0083\) and \(I=9.74\). Panel (a) shows \(S^{a}_{\varepsilon }\) (red surface) and \(S^{s}_{\varepsilon }\) (green surface) computed up the section Σ. Panel (b) shows the intersection curves \(S^{a}_{\varepsilon } \cap \varSigma \) (red) and \(S^{s}_{\varepsilon } \cap \varSigma \) (green) in the (\(m,n,v\))-space representing Σ; panel (c) is a projection onto the (\(n,v\))-plane. Panel (d) shows intersection curves \(S^{a}_{\varepsilon } \cap \varSigma \) and \(S^{s}_{\varepsilon } \cap \varSigma \) in projection onto the (\(n,v\))-plane, where the value of m is color coded as shown by the color bar; panels (e) and (f) are enlargements