Studying Attractor Symmetries by Means of Cross Correlation Sums

Details Studying Attractor Symmetries by Means of Cross Correlation Sums Studying Attractor Symmetries by Means of Cross Correlation Sums

1996-05-02

arxiv.org/abs/chao-dyn/9604020v1

Nonlinear Sciences

Chaotic Dynamics

LaTeX file, 16 pages and 16 postscript figures; tarred, gzipped and uuencoded; submitted to 'Nonlinearity'

Scientific paper

10.1088/0951-7715/10/3/009

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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