A numerical analysis of chaotic behaviour in Bianchi IX models

Details A numerical analysis of chaotic behaviour in Bianchi IX models A numerical analysis of chaotic behaviour in Bianchi IX models

Mar 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990gregr..22..349b&link_type=abstract

General Relativity and Gravitation, Volume 22, Issue 3, pp.349-363

Mathematics

Logic

47

Scientific paper

In this paper we investigate the chaotic behaviour of the Bianchi IX cosmological models using techniques developed in the study of dynamical systems and chaotic behaviour. We numerically calculate the Lyapunov exponent, λ, and show that instead of converging to a constant value, it decreases steadily. We study this effect further by studying the Lyapunov exponent using short-time averages. We show that the usual method of calculating λ is invalid in the case of a cosmological model.

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