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. Author manuscript; available in PMC: 2011 Aug 5.
Published in final edited form as: J Comput Neurosci. 2010 Feb 26;28(3):443–458. doi: 10.1007/s10827-010-0226-7

Figure 7.

Figure 7

A singular periodic orbit concatenated by slow and fast segments of the two singular limit systems, the reduced problem (5.11)–(5.12) and the layer problem (5.16)–(5.17), that leads to relaxation oscillations in (Eqs. 3.1–3.3) for C > 0. Here, the periodic orbit does not enter the singular funnel of the folded node FN, bounded by the fold curve L+ and the strong singular canard SC. (A) A view of the singular periodic orbit (black) and the critical manifold. (B) Projection onto the (e, V)-plane with the singular funnel highlighted in gray. FN is at (e, V) = (0.41,−15.26), eigenvalue ratio is μ ≈ 0.1 and parameter values are gA= 0.2 nS and gK = 4.0 nS. There is also a saddle equilibrium S (black diamond) at (e, V) = (1.5 × 10−4, −15.94).