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. Author manuscript; available in PMC: 2017 Jun 1.
Published in final edited form as: J Comput Neurosci. 2016 Mar 15;40(3):297–315. doi: 10.1007/s10827-016-0598-4

Fig. 9.

Fig. 9

Dependence of slow variable ms (treated as a parameter) on the period of limit cycles in the fast subsystem. The period of stable (solid) and unstable (dashed) limit cycles is plotted against ms. Stable limit cycles represent spiking solutions of the fast subsystem. The other slow variables (h2,HVA and Ca) are fixed at the values they attain at t = 3 s in the burst cycle of Fig. 8a. Notice that the period of the stable limit cycle is a decreasing function of ms, indicating a decrease in interspike interval as ms approaches its peak value during the burst. The blow-up in period shows the existence of a homoclinic (HC) bifurcation