IN THE FOLLOWING 40 FIGURES, WE ILLUSTRATE THE EXTRAORDINARY RANGE OF ALMOST PERIODIC DYNAMICS. SINCE THESE PHASE PLANE PLOTS ARE NOT CHAOTIC, BUT ARE VERY COMPLEX, WE REFER TO THEM AS Subchaos.

Subchaotic dynamical systems are systems that are not chaotic in the sense of Smale-Birkhoff, but exhibit many of the proprieties of chaos.

As demonstrated by these phase plane plots, the dynamical richness of Subchaos is so dramatic that this area of almost periodic functions warrants a separate investigation.