The statistical properties of energy spectra of a classical chaotic system are investigated, in particular for the effect of broken symmetry. Small symmetry breaking terms produce significant deviations from a Wigner distribution and also characteristic differences to the Delta 3 function of the Gaussian orthogonal ensemble. Furthermore, a saturation effect for Delta 3 was found as predicted in the literature.
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Reichl et al. (1987) studied this question.
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