These systems do not have periodic orbits they have symmetric strange attractors. So tracing a particle thru these systems will not result in periodicity but w

These systems do not have periodic orbits they have symmetric strange attractors. So tracing a particle thru these systems will not result in periodicity but will trace out these symmetric structures. It is unclear from the website if these are proven symmetries or observed. A good book that is a bit more technical than Gleick (which I found not wrong in the details it does have) is “Introduction to Applied Nonlinear Dynamical Systems and Chaos” by Stephen Wiggins. It requires basic under grad maths but is a graduate text in that very close reading is needed to follow. The first 17 chapters are intended as a semester class.