Applying chaos indicators to Bianchi cosmological models

Using standard chaos indicators, we perform a numerical investigation of the Bianchi IX Universe in the limit where one of the structure constants tends to zero. In this limit, we recover Bianchi VII0, which can be obtained from a Lie algebra contraction. We find that in this limit, the chaoticity o...

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Bibliographic Details
Published in:Chaos, solitons and fractals solitons and fractals, 2022-05, Vol.158, p.112108, Article 112108
Main Authors: Alrebdi, H.I., Steklain, A.F., Zotos, E.E.
Format: Article
Language:English
Subjects:
chaos indicators
Cosmology models
Mixmaster
Orbit classification
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Summary:Using standard chaos indicators, we perform a numerical investigation of the Bianchi IX Universe in the limit where one of the structure constants tends to zero. In this limit, we recover Bianchi VII0, which can be obtained from a Lie algebra contraction. We find that in this limit, the chaoticity of the system is preserved, but the basin structures of the grid classification are changed. •Mixmaster model can be considered in the transition from quantum to classical cosmology.•It is important to study how changes from Bianchi VII0 to IX can occur.•In the transition the chaoticity of the system is preserved, but the basin structures and SALI grid classification is changed.
ISSN:0960-0779
1873-2887
DOI:10.1016/j.chaos.2022.112108