Studying Attractor Symmetries by Means of Cross Correlation Sums
chao-dyn
2009-10-28 v1 Chaotic Dynamics
Abstract
We use the cross correlation sum introduced recently by H. Kantz to study symmetry properties of chaotic attractors. In particular, we apply it to a system of six coupled nonlinear oscillators which was shown by Kroon et al. to have attractors with several different symmetries, and compare our results with those obtained by ``detectives" in the sense of Golubitsky et al.
Keywords
Cite
@article{arxiv.chao-dyn/9604020,
title = {Studying Attractor Symmetries by Means of Cross Correlation Sums},
author = {Peter Schneider and Peter Grassberger},
journal= {arXiv preprint arXiv:chao-dyn/9604020},
year = {2009}
}
Comments
LaTeX file, 16 pages and 16 postscript figures; tarred, gzipped and uuencoded; submitted to 'Nonlinearity'