Classification of bursting patterns: A tale of two ducks
Fig 10
Folded-node/fold-of-cycles bursting.
Panels (a-b) show the spike-adding transition in system (1): (a) in the (z, x) plane where we show several limit cycles for β-values exponentially close to 0.320207 superimposed onto the fast subsystem bifurcation diagram; (b) bifurcation diagram of the associated 3D bursting system (1) with respect to parameter β, showing the sharp rise of the amplitude of the limit cycle branch (orange), corresponding to spike-adding transitions. Panels (c-d) show a folded-node/fold-of-cycles bursting orbit in the extended 4D system (6): (c) in the (β, z, x) space (single/double arrows indicate slow/fast motion); (d) time course of the fast variable x. Equations and parameter values are given in S1 Text.