Poincaré Plots?

Now that we know there are trapping regions of the cusp, e.g. periodic orbits, we can display those orbits with a Poincaré section. Then we can potentially demonstrate the invariant tori and chaotic orbits.
Unfortunately, I only realized the advantage of this approach after plotting 4000 trajectories T<drift-time and visually classifying them as “untrapped”, “trapped periodic”, and “trapped chaotic”. (Using 4 CPU weeks on dual AMD 1.8GHz)
So the Poincaré plot (many drift orbits) will have to wait for CPU time.

Now that we know there are trapping regions of the cusp, e.g. periodic orbits, we can display those orbits with a Poincaré section. Then we can potentially demonstrate the invariant tori and chaotic orbits.