The fractal nature of the power spectrum as an indicator of chaos in the Bianchi IX cosmological model

Details The fractal nature of the power spectrum as an indicator of chaos in the Bianchi IX cosmological model The fractal nature of the power spectrum as an indicator of chaos in the Bianchi IX cosmological model

Jan 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993phlb..299..223d&link_type=abstract

Physics Letters B, Volume 299, Issue 3-4, p. 223-228.

Physics

14

Scientific paper

Using two different methods, we compute the fractal dimension of the power spectrum associated with numerical solutions of the spatially homogeneous Bianchi IX cosmological model in Misner-Chitre coordinates. According to Perdand's criterion, the noninteger character of this dimension is reflection of chaos and can be used to measure it, in the same spirit as the Lyapunov exponent of the Kolmogorov entropy. The results obtained indicate the chaotic nature of the behavior of the Bianchi IX model near the cosmological singularity.
Chargé de recherches FNRS, Belgium.

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