Invariant Lyapunov exponents and chaos in cosmology

Details Invariant Lyapunov exponents and chaos in cosmology Invariant Lyapunov exponents and chaos in cosmology

Jun 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993phrvd..47.5336b&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 47, Issue 12, 15 June 1993, pp.5336-5341

Mathematics

Logic

32

Scientific paper

The precise dynamical nature of the Bianchi type-IX cosmological model has been a subject of debate for a number of years. The lack of congruence between various results, which mainly employ numerical calculations of the spectrum of Lyapunov exponents, has motivated a number of attempts at a gauge-invariant characterization of chaos. Here we critically examine one of these attempts and argue that none of the attempted characterizations so far put forward are completely satisfactory. We also briefly discuss natural gauges in cosmology and distinguish between qualitative and quantitative measures of chaos.

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