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...

Full description

Saved in:
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
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-c303t-e954f2d91591a2c65681936de2f426e18a29278de41fcd34dd119503060670793
cites cdi_FETCH-LOGICAL-c303t-e954f2d91591a2c65681936de2f426e18a29278de41fcd34dd119503060670793
container_end_page
container_issue
container_start_page 112108
container_title Chaos, solitons and fractals
container_volume 158
creator Alrebdi, H.I.
Steklain, A.F.
Zotos, E.E.
description 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.
doi_str_mv 10.1016/j.chaos.2022.112108
format article
fullrecord <record><control><sourceid>elsevier_cross</sourceid><recordid>TN_cdi_crossref_primary_10_1016_j_chaos_2022_112108</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><els_id>S0960077922003186</els_id><sourcerecordid>S0960077922003186</sourcerecordid><originalsourceid>FETCH-LOGICAL-c303t-e954f2d91591a2c65681936de2f426e18a29278de41fcd34dd119503060670793</originalsourceid><addsrcrecordid>eNp9j71OwzAUhS0EEqXwBCx5gYR77cQ_A0OpoCBVYoHZsmyndZTGlR0h9e1JG2amMxx9R-cj5BGhQkD-1FV2b2KuKFBaIVIEeUUWKAUrqZTimixAcShBCHVL7nLuAACB0wWRq-OxP4VhV1wWijC4YM0YUy7GWLwEM9h9KGzMh9jH3VT1xSE63-d7ctOaPvuHv1yS77fXr_V7uf3cfKxX29IyYGPpVVO31ClsFBpqecMlKsadp21NuUdpqKJCOl9jax2rnUNUDTDgwAUIxZaEzbs2xZyTb_UxhYNJJ42gz_K605fr-iyvZ_mJep6p6an_CT7pbIMfrHcheTtqF8O__C-VfWJD</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Applying chaos indicators to Bianchi cosmological models</title><source>ScienceDirect Freedom Collection</source><creator>Alrebdi, H.I. ; Steklain, A.F. ; Zotos, E.E.</creator><creatorcontrib>Alrebdi, H.I. ; Steklain, A.F. ; Zotos, E.E.</creatorcontrib><description>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.</description><identifier>ISSN: 0960-0779</identifier><identifier>EISSN: 1873-2887</identifier><identifier>DOI: 10.1016/j.chaos.2022.112108</identifier><language>eng</language><publisher>Elsevier Ltd</publisher><subject>chaos indicators ; Cosmology models ; Mixmaster ; Orbit classification</subject><ispartof>Chaos, solitons and fractals, 2022-05, Vol.158, p.112108, Article 112108</ispartof><rights>2022 Elsevier Ltd</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c303t-e954f2d91591a2c65681936de2f426e18a29278de41fcd34dd119503060670793</citedby><cites>FETCH-LOGICAL-c303t-e954f2d91591a2c65681936de2f426e18a29278de41fcd34dd119503060670793</cites><orcidid>0000-0001-5964-2137 ; 0000-0002-2271-1060 ; 0000-0002-1565-4467</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><creatorcontrib>Alrebdi, H.I.</creatorcontrib><creatorcontrib>Steklain, A.F.</creatorcontrib><creatorcontrib>Zotos, E.E.</creatorcontrib><title>Applying chaos indicators to Bianchi cosmological models</title><title>Chaos, solitons and fractals</title><description>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.</description><subject>chaos indicators</subject><subject>Cosmology models</subject><subject>Mixmaster</subject><subject>Orbit classification</subject><issn>0960-0779</issn><issn>1873-2887</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><recordid>eNp9j71OwzAUhS0EEqXwBCx5gYR77cQ_A0OpoCBVYoHZsmyndZTGlR0h9e1JG2amMxx9R-cj5BGhQkD-1FV2b2KuKFBaIVIEeUUWKAUrqZTimixAcShBCHVL7nLuAACB0wWRq-OxP4VhV1wWijC4YM0YUy7GWLwEM9h9KGzMh9jH3VT1xSE63-d7ctOaPvuHv1yS77fXr_V7uf3cfKxX29IyYGPpVVO31ClsFBpqecMlKsadp21NuUdpqKJCOl9jax2rnUNUDTDgwAUIxZaEzbs2xZyTb_UxhYNJJ42gz_K605fr-iyvZ_mJep6p6an_CT7pbIMfrHcheTtqF8O__C-VfWJD</recordid><startdate>202205</startdate><enddate>202205</enddate><creator>Alrebdi, H.I.</creator><creator>Steklain, A.F.</creator><creator>Zotos, E.E.</creator><general>Elsevier Ltd</general><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0001-5964-2137</orcidid><orcidid>https://orcid.org/0000-0002-2271-1060</orcidid><orcidid>https://orcid.org/0000-0002-1565-4467</orcidid></search><sort><creationdate>202205</creationdate><title>Applying chaos indicators to Bianchi cosmological models</title><author>Alrebdi, H.I. ; Steklain, A.F. ; Zotos, E.E.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c303t-e954f2d91591a2c65681936de2f426e18a29278de41fcd34dd119503060670793</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>chaos indicators</topic><topic>Cosmology models</topic><topic>Mixmaster</topic><topic>Orbit classification</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Alrebdi, H.I.</creatorcontrib><creatorcontrib>Steklain, A.F.</creatorcontrib><creatorcontrib>Zotos, E.E.</creatorcontrib><collection>CrossRef</collection><jtitle>Chaos, solitons and fractals</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Alrebdi, H.I.</au><au>Steklain, A.F.</au><au>Zotos, E.E.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Applying chaos indicators to Bianchi cosmological models</atitle><jtitle>Chaos, solitons and fractals</jtitle><date>2022-05</date><risdate>2022</risdate><volume>158</volume><spage>112108</spage><pages>112108-</pages><artnum>112108</artnum><issn>0960-0779</issn><eissn>1873-2887</eissn><abstract>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.</abstract><pub>Elsevier Ltd</pub><doi>10.1016/j.chaos.2022.112108</doi><orcidid>https://orcid.org/0000-0001-5964-2137</orcidid><orcidid>https://orcid.org/0000-0002-2271-1060</orcidid><orcidid>https://orcid.org/0000-0002-1565-4467</orcidid></addata></record>
fulltext fulltext
identifier ISSN: 0960-0779
ispartof Chaos, solitons and fractals, 2022-05, Vol.158, p.112108, Article 112108
issn 0960-0779
1873-2887
language eng
recordid cdi_crossref_primary_10_1016_j_chaos_2022_112108
source ScienceDirect Freedom Collection
subjects chaos indicators
Cosmology models
Mixmaster
Orbit classification
title Applying chaos indicators to Bianchi cosmological models
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-28T15%3A57%3A38IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-elsevier_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Applying%20chaos%20indicators%20to%20Bianchi%20cosmological%20models&rft.jtitle=Chaos,%20solitons%20and%20fractals&rft.au=Alrebdi,%20H.I.&rft.date=2022-05&rft.volume=158&rft.spage=112108&rft.pages=112108-&rft.artnum=112108&rft.issn=0960-0779&rft.eissn=1873-2887&rft_id=info:doi/10.1016/j.chaos.2022.112108&rft_dat=%3Celsevier_cross%3ES0960077922003186%3C/elsevier_cross%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c303t-e954f2d91591a2c65681936de2f426e18a29278de41fcd34dd119503060670793%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true