When plotted in phase space (the θ–p plane), periodic orbits appear as closed curves, and quasiperiodic orbits as necklaces of closed curves whose centers lie in another larger closed curve.
In the context of a phase space representation (the θ–p plane), periodic paths are depicted as self-contained loops, whereas quasiperiodic trajectories manifest as complex patterns of interlocking loops with their centers situated at the center of a more extensive loop.