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 analyzing motion in a phase space (the θ–p plane), periodic paths are represented by self-contained loops, whereas quasiperiodic trajectories exhibit complex patterns of interlocking loops with their centers located at the center of a more extensive loop.