On Periodic and Chaotic Orbits in a Rational Planar System

Autor: Lazaryan, N., Sedaghat, H.
Rok vydání: 2014
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: Applies folding to rational systems to prove complex behavior; updated version corrects an error in one example
Databáze: arXiv