On Periodic and Chaotic Orbits in a Rational Planar System
Dynamical Systems
2014-05-20 v2
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.
Cite
@article{arxiv.1405.3124,
title = {On Periodic and Chaotic Orbits in a Rational Planar System},
author = {N. Lazaryan and H. Sedaghat},
journal= {arXiv preprint arXiv:1405.3124},
year = {2014}
}
Comments
Applies folding to rational systems to prove complex behavior; updated version corrects an error in one example