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Classification of bursting patterns: A tale of two ducks
Fig 13
A conductance-based episodic bursting example [46].
Left panels: Folded-node bursting orbits shown in the (s1, s2, V)-space projection together with the 2D critical manifold S0, the lower fold curve 
, the folded-node singularity fn; we also show the location of the Hopf bifurcation point (HB) of the 3D fast subsystem assuming only s2 as a slow variable. Right panels: V time series. The top panels show a bursting orbit for the original parameter values from [30], whereas the bottom ones show a similar bursting solution for a different parameter set where only the kinetics of the 2 slow currents have been modified. In the second parameter set, the HB point moves out of the subthreshold oscillation region and, hence, the one-slow-variable scenario does not fully explain the bursting pattern, which is better cast as folded-node bursting. The parameters of the slow currents that we modify to obtain the new set are as follows: 
. All equations and parameter values are given in S1 Text.
doi: https://doi.org/10.1371/journal.pcbi.1009752.g013