Figure 1
APS/Carin Cain

Figure 1: (a) Schematic illustration of bubbling in a chaotic attractor. Trajectories that cross into the shaded conical region are ejected away from the attractor because of the presence of a transversely unstable orbit. (b) Simplified representation of the frequency of events as a function of their sizes (solid line) in the experiments of Cavalcante et al.  [1], where the peak of largest events correspond to bubbling events (termed dragon kings by the authors). The frequency of large events is very significantly reduced by the proposed prediction-followed-by-control scheme (dashed line).