Studying Attractor Symmetries by Means of Cross Correlation Sums
arXiv:chao-dyn/9604020 · doi:10.1088/0951-7715/10/3/009
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.
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