Hyperchaos in convection with the Cattaneo-Christov heat-flux model

Bibliographic Details
Main Author: Daumann C.C.*
Publication Date: 2019
Other Authors: Rech P.C.*
Format: Article
Language: eng
Source: Repositório Institucional da Udesc
dARK ID: ark:/33523/001300000pq35
Download full: https://repositorio.udesc.br/handle/UDESC/5452
Summary: © 2019, EDP Sciences / Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature.Abstract: In this paper, we report on the nonlinear dynamics of a five-variable, four-parameter system, which models the effects of thermal relaxation time on Rayleigh-Bénard convection of Boussinesq fluid layer heated underneath. Six cross-sections of the four-dimensional parameter-space are considered. By using Lyapunov exponents spectra to characterize the dynamical behavior at each point of each these diagrams, we show that different parameter regions are allowed, from equilibrium points to chaos and hyperchaos regions.
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spelling Hyperchaos in convection with the Cattaneo-Christov heat-flux model© 2019, EDP Sciences / Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature.Abstract: In this paper, we report on the nonlinear dynamics of a five-variable, four-parameter system, which models the effects of thermal relaxation time on Rayleigh-Bénard convection of Boussinesq fluid layer heated underneath. Six cross-sections of the four-dimensional parameter-space are considered. By using Lyapunov exponents spectra to characterize the dynamical behavior at each point of each these diagrams, we show that different parameter regions are allowed, from equilibrium points to chaos and hyperchaos regions.2024-12-06T12:21:13Z2019info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article1434-603610.1140/epjb/e2019-100081-6https://repositorio.udesc.br/handle/UDESC/5452ark:/33523/001300000pq35European Physical Journal B925Daumann C.C.*Rech P.C.*engreponame:Repositório Institucional da Udescinstname:Universidade do Estado de Santa Catarina (UDESC)instacron:UDESCinfo:eu-repo/semantics/openAccess2024-12-07T20:47:45Zoai:repositorio.udesc.br:UDESC/5452Biblioteca Digital de Teses e Dissertaçõeshttps://pergamumweb.udesc.br/biblioteca/index.phpPRIhttps://repositorio-api.udesc.br/server/oai/requestri@udesc.bropendoar:63912024-12-07T20:47:45Repositório Institucional da Udesc - Universidade do Estado de Santa Catarina (UDESC)false
dc.title.none.fl_str_mv Hyperchaos in convection with the Cattaneo-Christov heat-flux model
title Hyperchaos in convection with the Cattaneo-Christov heat-flux model
spellingShingle Hyperchaos in convection with the Cattaneo-Christov heat-flux model
Daumann C.C.*
title_short Hyperchaos in convection with the Cattaneo-Christov heat-flux model
title_full Hyperchaos in convection with the Cattaneo-Christov heat-flux model
title_fullStr Hyperchaos in convection with the Cattaneo-Christov heat-flux model
title_full_unstemmed Hyperchaos in convection with the Cattaneo-Christov heat-flux model
title_sort Hyperchaos in convection with the Cattaneo-Christov heat-flux model
author Daumann C.C.*
author_facet Daumann C.C.*
Rech P.C.*
author_role author
author2 Rech P.C.*
author2_role author
dc.contributor.author.fl_str_mv Daumann C.C.*
Rech P.C.*
description © 2019, EDP Sciences / Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature.Abstract: In this paper, we report on the nonlinear dynamics of a five-variable, four-parameter system, which models the effects of thermal relaxation time on Rayleigh-Bénard convection of Boussinesq fluid layer heated underneath. Six cross-sections of the four-dimensional parameter-space are considered. By using Lyapunov exponents spectra to characterize the dynamical behavior at each point of each these diagrams, we show that different parameter regions are allowed, from equilibrium points to chaos and hyperchaos regions.
publishDate 2019
dc.date.none.fl_str_mv 2019
2024-12-06T12:21:13Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv 1434-6036
10.1140/epjb/e2019-100081-6
https://repositorio.udesc.br/handle/UDESC/5452
dc.identifier.dark.fl_str_mv ark:/33523/001300000pq35
identifier_str_mv 1434-6036
10.1140/epjb/e2019-100081-6
ark:/33523/001300000pq35
url https://repositorio.udesc.br/handle/UDESC/5452
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv European Physical Journal B
92
5
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv reponame:Repositório Institucional da Udesc
instname:Universidade do Estado de Santa Catarina (UDESC)
instacron:UDESC
instname_str Universidade do Estado de Santa Catarina (UDESC)
instacron_str UDESC
institution UDESC
reponame_str Repositório Institucional da Udesc
collection Repositório Institucional da Udesc
repository.name.fl_str_mv Repositório Institucional da Udesc - Universidade do Estado de Santa Catarina (UDESC)
repository.mail.fl_str_mv ri@udesc.br
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