Connecting Curves in Higher Dimensions
Chaotic Dynamics
2015-06-15 v1
Abstract
Connecting curves have been shown to organize the rotational structure of strange attractors in three-dimensional dynamical systems. We extend the description of connecting curves and their properties to higher dimensions within the special class of differential dynamical systems. The general properties of connecting curves are derived and selection rules stated. Examples are presented to illustrate these properties for dynamical systems of dimension n=3,4,5.
Keywords
Cite
@article{arxiv.1305.2960,
title = {Connecting Curves in Higher Dimensions},
author = {Greg Byrne and Juan Cebral and Robert Gilmore},
journal= {arXiv preprint arXiv:1305.2960},
year = {2015}
}
Comments
12 pages, 13 figures