Alternative method to find orbits in chaotic systems
chao-dyn
2009-10-28 v1 Chaotic Dynamics
Abstract
We present here a new method which applies well ordered symbolic dynamics to find unstable periodic and non-periodic orbits in a chaotic system. The method is simple and efficient and has been successfully applied to a number of different systems such as the H\'enon map, disk billiards, stadium billiard, wedge billiard, diamagnetic Kepler problem, colinear Helium atom and systems with attracting potentials. The method seems to be better than earlier applied methods.
Keywords
Cite
@article{arxiv.chao-dyn/9507003,
title = {Alternative method to find orbits in chaotic systems},
author = {Kai T. Hansen},
journal= {arXiv preprint arXiv:chao-dyn/9507003},
year = {2009}
}
Comments
5 pages, uuencoded compressed tar PostScript file