Fig. 9

An example of circle/fold cycle bursting in the MLT system (Equations 6a-6c) at $(k,g_{\mathrm{Ca}})=(-0.0375,1.25)$. (a) Time series of the fast V variable. (b) The bursting trajectory (blue curve) is plotted in projection onto the $(y,V)$ phase space along with the bifurcation diagram of the fast system at this value of $g_{\mathrm{Ca}}$. Plotting conventions follow Figure 2. The inset shows the Poincaré map of the bursting trajectory near SNp, also plotted in projection onto the $(y,V)$ phase space. The Poincaré surface Σ is chosen so that the iterates correspond to local extrema in V of the trajectory.