Reversible-equivariant systems and matricial equations

Detalhes bibliográficos
Autor(a) principal: Teixeira,Marco A
Data de Publicação: 2011
Outros Autores: Martins,Ricardo M
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Anais da Academia Brasileira de Ciências (Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652011000200003
Resumo: This paper uses tools in group theory and symbolic computing to classify the representations of finite groups with order lower than, or equal to 9 that can be derived from the study of local reversible-equivariant vector fields in <img border=0 width=32 height=32 src="../../../../img/revistas/aabc/v83n2/carr.jpg" align=absmiddle>4 . The results are obtained by solving matricial equations. In particular, we exhibit the involutions used in a local study of reversible-equivariant vector fields. Based on such approach we present, for each element in this class, a simplified Belitskii normal form.
id ABC-1_9a66857763a90a71190a579da57cadb8
oai_identifier_str oai:scielo:S0001-37652011000200003
network_acronym_str ABC-1
network_name_str Anais da Academia Brasileira de Ciências (Online)
repository_id_str
spelling Reversible-equivariant systems and matricial equationsReversible-equivariant dynamical systemsinvolutory symmetriesnormal formsThis paper uses tools in group theory and symbolic computing to classify the representations of finite groups with order lower than, or equal to 9 that can be derived from the study of local reversible-equivariant vector fields in <img border=0 width=32 height=32 src="../../../../img/revistas/aabc/v83n2/carr.jpg" align=absmiddle>4 . The results are obtained by solving matricial equations. In particular, we exhibit the involutions used in a local study of reversible-equivariant vector fields. Based on such approach we present, for each element in this class, a simplified Belitskii normal form.Academia Brasileira de Ciências2011-06-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652011000200003Anais da Academia Brasileira de Ciências v.83 n.2 2011reponame:Anais da Academia Brasileira de Ciências (Online)instname:Academia Brasileira de Ciências (ABC)instacron:ABC10.1590/S0001-37652011000200003info:eu-repo/semantics/openAccessTeixeira,Marco AMartins,Ricardo Meng2011-06-03T00:00:00Zoai:scielo:S0001-37652011000200003Revistahttp://www.scielo.br/aabchttps://old.scielo.br/oai/scielo-oai.php||aabc@abc.org.br1678-26900001-3765opendoar:2011-06-03T00:00Anais da Academia Brasileira de Ciências (Online) - Academia Brasileira de Ciências (ABC)false
dc.title.none.fl_str_mv Reversible-equivariant systems and matricial equations
title Reversible-equivariant systems and matricial equations
spellingShingle Reversible-equivariant systems and matricial equations
Teixeira,Marco A
Reversible-equivariant dynamical systems
involutory symmetries
normal forms
title_short Reversible-equivariant systems and matricial equations
title_full Reversible-equivariant systems and matricial equations
title_fullStr Reversible-equivariant systems and matricial equations
title_full_unstemmed Reversible-equivariant systems and matricial equations
title_sort Reversible-equivariant systems and matricial equations
author Teixeira,Marco A
author_facet Teixeira,Marco A
Martins,Ricardo M
author_role author
author2 Martins,Ricardo M
author2_role author
dc.contributor.author.fl_str_mv Teixeira,Marco A
Martins,Ricardo M
dc.subject.por.fl_str_mv Reversible-equivariant dynamical systems
involutory symmetries
normal forms
topic Reversible-equivariant dynamical systems
involutory symmetries
normal forms
description This paper uses tools in group theory and symbolic computing to classify the representations of finite groups with order lower than, or equal to 9 that can be derived from the study of local reversible-equivariant vector fields in <img border=0 width=32 height=32 src="../../../../img/revistas/aabc/v83n2/carr.jpg" align=absmiddle>4 . The results are obtained by solving matricial equations. In particular, we exhibit the involutions used in a local study of reversible-equivariant vector fields. Based on such approach we present, for each element in this class, a simplified Belitskii normal form.
publishDate 2011
dc.date.none.fl_str_mv 2011-06-01
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=S0001-37652011000200003
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652011000200003
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0001-37652011000200003
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 Academia Brasileira de Ciências
publisher.none.fl_str_mv Academia Brasileira de Ciências
dc.source.none.fl_str_mv Anais da Academia Brasileira de Ciências v.83 n.2 2011
reponame:Anais da Academia Brasileira de Ciências (Online)
instname:Academia Brasileira de Ciências (ABC)
instacron:ABC
instname_str Academia Brasileira de Ciências (ABC)
instacron_str ABC
institution ABC
reponame_str Anais da Academia Brasileira de Ciências (Online)
collection Anais da Academia Brasileira de Ciências (Online)
repository.name.fl_str_mv Anais da Academia Brasileira de Ciências (Online) - Academia Brasileira de Ciências (ABC)
repository.mail.fl_str_mv ||aabc@abc.org.br
_version_ 1754302857976217600

Registros relacionados