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. Author manuscript; available in PMC: 2013 Aug 1.
Published in final edited form as: Discrete Contin Dyn Syst Ser A. 2012 Mar;32(8):2853–2877. doi: 10.3934/dcds.2012.32.2853

Figure 3.

Figure 3

Pseudo-plateau bursting exists in the (partial) unfolding (4) of a doubly-degenerate Bogdanov–Takens singularity. Panel (a) shows the bifurcation diagram on the unit sphere in (μ1, μ2, ν)-space with b = 0.75. Color in on-line version: red, homoclinic (HC); blue, Hopf bifurcation (H; solid: supercritical, dashed: subcritical); black, saddle-node (SN); orange, Bogdanov–Takens point (BT); green, saddle node of periodics (SNP); degenerate Hopf and cusp are labeled DH and C, respectively. Panels (b) and (c) show time series and underlying bifurcation diagram of pseudo-plateau bursting corresponding to the path indicated in panel (a).