A numerical analysis of chaotic behaviour in Bianchi IX models
type: Item
instance of: scholarly article
title: A numerical analysis of chaotic behaviour in Bianchi IX models
zbMATH Open document ID: 0698.58045
DOI: 10.1007/BF00756280
author: A. B. Burd
author: N. Burić
author: George F. R. Ellis
published in: General Relativity and Gravitation
publication date: 1990-01-01T00:00:00Z
review text: One considers the chaotic behaviour of the Bianchi IX cosmological models. The Lyapunov exponent \(\lambda\) is numerically calculated. It is shown that instead of converging to a constant value, it decreases steadily. One uses short-time averages, and it is shown that the usual method of calculating \(\lambda\) is invalid in the case of a cosmological model.
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 83F05
zbMATH DE Number: 4145004
zbMATH Keywords: chaotic behaviour
zbMATH Keywords: Bianchi IX cosmological models
zbMATH Keywords: Lyapunov exponent
reviewed by: G.V.Khmelevskaja-Plotnikova
MaRDI profile type: Publication
cites work: Chaos in the long-term behavior of some Bianchi-type VIII models
cites work: A class of homogeneous cosmological models
cites work: Mixmaster Universe
cites work: Q3713481
cites work: Q4331528
cites work: A numerical approach to ergodic problem of dissipative dynamical systems.
cites work: Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
cites work: The nature of turbulent motion at large wave-numbers
description: scientific article; zbMATH DE number 4145004