On Periodic and Chaotic Orbits in a Rational Planar System
arXiv:1405.3124
Abstract
By folding an autonomous system of rational equations in the plane to a scalar difference equation, we show that the rational system has coexisting periodic orbits of all possible periods as well as stable aperiodic orbits for certain parameter ranges.
Applies folding to rational systems to prove complex behavior; updated version corrects an error in one example