Phase diagram and complex patterns in the modeling of the bromate-oxalic acid-Ce-acetone oscillating reaction

Detalhes bibliográficos
Autor(a) principal: Pereira,Janaina A. M.
Data de Publicação: 2007
Outros Autores: Faria,Roberto B.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Química Nova (Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0100-40422007000300007
Resumo: Simulations have been carried out on the bromate - oxalic acid - Ce(IV) - acetone oscillating reaction, under flow conditions, using Field and Boyd's model (J. Phys. Chem. 1985, 89, 3707). Many different complex dynamic behaviors were found, including simple periodic oscillations, complex periodic oscillations, quasiperiodicity and chaos. Some of these complex oscillations can be understood as belonging to a Farey sequence. The many different behaviors were systematized in a phase diagram which shows that some regions of complex patterns were nested with one inside the other. The existence of almost all known dynamic behavior for this system allows the suggestion that it can be used as a model for some very complex phenomena that occur in biological systems.
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spelling Phase diagram and complex patterns in the modeling of the bromate-oxalic acid-Ce-acetone oscillating reactionoscillating reactionsFarey sequencesmixed-mode oscillationsSimulations have been carried out on the bromate - oxalic acid - Ce(IV) - acetone oscillating reaction, under flow conditions, using Field and Boyd's model (J. Phys. Chem. 1985, 89, 3707). Many different complex dynamic behaviors were found, including simple periodic oscillations, complex periodic oscillations, quasiperiodicity and chaos. Some of these complex oscillations can be understood as belonging to a Farey sequence. The many different behaviors were systematized in a phase diagram which shows that some regions of complex patterns were nested with one inside the other. The existence of almost all known dynamic behavior for this system allows the suggestion that it can be used as a model for some very complex phenomena that occur in biological systems.Sociedade Brasileira de Química2007-06-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0100-40422007000300007Química Nova v.30 n.3 2007reponame:Química Nova (Online)instname:Sociedade Brasileira de Química (SBQ)instacron:SBQ10.1590/S0100-40422007000300007info:eu-repo/semantics/openAccessPereira,Janaina A. M.Faria,Roberto B.eng2007-05-28T00:00:00Zoai:scielo:S0100-40422007000300007Revistahttps://www.scielo.br/j/qn/ONGhttps://old.scielo.br/oai/scielo-oai.phpquimicanova@sbq.org.br1678-70640100-4042opendoar:2007-05-28T00:00Química Nova (Online) - Sociedade Brasileira de Química (SBQ)false
dc.title.none.fl_str_mv Phase diagram and complex patterns in the modeling of the bromate-oxalic acid-Ce-acetone oscillating reaction
title Phase diagram and complex patterns in the modeling of the bromate-oxalic acid-Ce-acetone oscillating reaction
spellingShingle Phase diagram and complex patterns in the modeling of the bromate-oxalic acid-Ce-acetone oscillating reaction
Pereira,Janaina A. M.
oscillating reactions
Farey sequences
mixed-mode oscillations
title_short Phase diagram and complex patterns in the modeling of the bromate-oxalic acid-Ce-acetone oscillating reaction
title_full Phase diagram and complex patterns in the modeling of the bromate-oxalic acid-Ce-acetone oscillating reaction
title_fullStr Phase diagram and complex patterns in the modeling of the bromate-oxalic acid-Ce-acetone oscillating reaction
title_full_unstemmed Phase diagram and complex patterns in the modeling of the bromate-oxalic acid-Ce-acetone oscillating reaction
title_sort Phase diagram and complex patterns in the modeling of the bromate-oxalic acid-Ce-acetone oscillating reaction
author Pereira,Janaina A. M.
author_facet Pereira,Janaina A. M.
Faria,Roberto B.
author_role author
author2 Faria,Roberto B.
author2_role author
dc.contributor.author.fl_str_mv Pereira,Janaina A. M.
Faria,Roberto B.
dc.subject.por.fl_str_mv oscillating reactions
Farey sequences
mixed-mode oscillations
topic oscillating reactions
Farey sequences
mixed-mode oscillations
description Simulations have been carried out on the bromate - oxalic acid - Ce(IV) - acetone oscillating reaction, under flow conditions, using Field and Boyd's model (J. Phys. Chem. 1985, 89, 3707). Many different complex dynamic behaviors were found, including simple periodic oscillations, complex periodic oscillations, quasiperiodicity and chaos. Some of these complex oscillations can be understood as belonging to a Farey sequence. The many different behaviors were systematized in a phase diagram which shows that some regions of complex patterns were nested with one inside the other. The existence of almost all known dynamic behavior for this system allows the suggestion that it can be used as a model for some very complex phenomena that occur in biological systems.
publishDate 2007
dc.date.none.fl_str_mv 2007-06-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0100-40422007000300007
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0100-40422007000300007
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0100-40422007000300007
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Química
publisher.none.fl_str_mv Sociedade Brasileira de Química
dc.source.none.fl_str_mv Química Nova v.30 n.3 2007
reponame:Química Nova (Online)
instname:Sociedade Brasileira de Química (SBQ)
instacron:SBQ
instname_str Sociedade Brasileira de Química (SBQ)
instacron_str SBQ
institution SBQ
reponame_str Química Nova (Online)
collection Química Nova (Online)
repository.name.fl_str_mv Química Nova (Online) - Sociedade Brasileira de Química (SBQ)
repository.mail.fl_str_mv quimicanova@sbq.org.br
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