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Studying Attractor Symmetries by Means of Cross Correlation Sums

Peter Schneider·Peter Grassberger
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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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Peter Schneider, Peter Grassberger. 1996-05-02. Studying Attractor Symmetries by Means of Cross Correlation Sums. https://doi.org/10.1088/0951-7715%2F10%2F3%2F009

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