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 of the system is preserved, but the basin structures of the grid classification are changed. © 2022 Elsevier Ltd

Authors
Alrebdi H.I.1 , Steklain A.F.2 , Zotos E.E. 3, 4
Journal
Chaos, Solitons and Fractals
Publisher
Elsevier Ltd
Language
English
Status
Published
Link
External link
DOI
10.1016/j.chaos.2022.112108
Number
112108
Volume
158
Year
2022
Organizations
  • 1 Department of Physics, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh, 11671, Saudi Arabia
  • 2 Department of Mathematics, Universidade Tecnológica Federal do Paraná, Curitiba, 80230901, Brazil
  • 3 Department of Physics, School of Science, Aristotle University of Thessaloniki, Thessaloniki, 541 24, Greece
  • 4 Mathematical Institute of the Peoples’ Friendship University of Russia (RUDN University), Miklukho-Maklaya str. 6, Moscow, 117198, Russian Federation
Keywords
chaos indicators; Cosmology models; Mixmaster; Orbit classification
Date of creation
06.07.2022
Date of change
06.07.2022
Short link
https://repository.rudn.ru/en/records/article/record/83649/
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