Path formulation for Z(2) circle plus Z(2)-equivariant bifurcation problems
Autor(a) principal: | |
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Data de Publicação: | 2007 |
Outros Autores: | |
Tipo de documento: | Artigo de conferência |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1007/978-3-7643-7776-2_10 http://hdl.handle.net/11449/32265 |
Resumo: | M. Manoel and I. Stewart 0101) classify Z(2) circle plus Z(2)-equivariant bifurcation problems up to codimension 3 and 1 modal parameter, using the classical techniques of singularity theory of Golubistky and Schaeffer [8]. In this paper we classify these same problems using an alternative form: the path formulation (Theorem 6.1). One of the advantages of this method is that the calculates to obtain the normal forms are easier. Furthermore, in our classification we observe the presence of only one modal parameter in the generic core. It differs from the classical classification where the core has 2 modal parameters. We finish this work comparing our classification to the one obtained in [10]. |
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Path formulation for Z(2) circle plus Z(2)-equivariant bifurcation problemspath formulationequivariant bifurcation problemsZ(2) circle plus Z(2)-symmetryclassificationM. Manoel and I. Stewart 0101) classify Z(2) circle plus Z(2)-equivariant bifurcation problems up to codimension 3 and 1 modal parameter, using the classical techniques of singularity theory of Golubistky and Schaeffer [8]. In this paper we classify these same problems using an alternative form: the path formulation (Theorem 6.1). One of the advantages of this method is that the calculates to obtain the normal forms are easier. Furthermore, in our classification we observe the presence of only one modal parameter in the generic core. It differs from the classical classification where the core has 2 modal parameters. We finish this work comparing our classification to the one obtained in [10].UNESP, IBILCE, Dept Matemat, BR-15054000 Sao Jose do Rio Preto, SP, BrazilUNESP, IBILCE, Dept Matemat, BR-15054000 Sao Jose do Rio Preto, SP, BrazilBirkhauser BostonUniversidade Estadual Paulista (Unesp)Ferreira Costa, Joao CarlosSitta, Angela Maria2014-05-20T15:21:05Z2014-05-20T15:21:05Z2007-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject127-141http://dx.doi.org/10.1007/978-3-7643-7776-2_10Real and Complex Singularities. Cambridge: Birkhauser Boston, p. 127-141, 2007.http://hdl.handle.net/11449/3226510.1007/978-3-7643-7776-2_10WOS:000243343400010Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengReal and Complex Singularitiesinfo:eu-repo/semantics/openAccess2021-10-23T21:41:23Zoai:repositorio.unesp.br:11449/32265Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-23T21:41:23Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Path formulation for Z(2) circle plus Z(2)-equivariant bifurcation problems |
title |
Path formulation for Z(2) circle plus Z(2)-equivariant bifurcation problems |
spellingShingle |
Path formulation for Z(2) circle plus Z(2)-equivariant bifurcation problems Ferreira Costa, Joao Carlos path formulation equivariant bifurcation problems Z(2) circle plus Z(2)-symmetry classification |
title_short |
Path formulation for Z(2) circle plus Z(2)-equivariant bifurcation problems |
title_full |
Path formulation for Z(2) circle plus Z(2)-equivariant bifurcation problems |
title_fullStr |
Path formulation for Z(2) circle plus Z(2)-equivariant bifurcation problems |
title_full_unstemmed |
Path formulation for Z(2) circle plus Z(2)-equivariant bifurcation problems |
title_sort |
Path formulation for Z(2) circle plus Z(2)-equivariant bifurcation problems |
author |
Ferreira Costa, Joao Carlos |
author_facet |
Ferreira Costa, Joao Carlos Sitta, Angela Maria |
author_role |
author |
author2 |
Sitta, Angela Maria |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Ferreira Costa, Joao Carlos Sitta, Angela Maria |
dc.subject.por.fl_str_mv |
path formulation equivariant bifurcation problems Z(2) circle plus Z(2)-symmetry classification |
topic |
path formulation equivariant bifurcation problems Z(2) circle plus Z(2)-symmetry classification |
description |
M. Manoel and I. Stewart 0101) classify Z(2) circle plus Z(2)-equivariant bifurcation problems up to codimension 3 and 1 modal parameter, using the classical techniques of singularity theory of Golubistky and Schaeffer [8]. In this paper we classify these same problems using an alternative form: the path formulation (Theorem 6.1). One of the advantages of this method is that the calculates to obtain the normal forms are easier. Furthermore, in our classification we observe the presence of only one modal parameter in the generic core. It differs from the classical classification where the core has 2 modal parameters. We finish this work comparing our classification to the one obtained in [10]. |
publishDate |
2007 |
dc.date.none.fl_str_mv |
2007-01-01 2014-05-20T15:21:05Z 2014-05-20T15:21:05Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/conferenceObject |
format |
conferenceObject |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1007/978-3-7643-7776-2_10 Real and Complex Singularities. Cambridge: Birkhauser Boston, p. 127-141, 2007. http://hdl.handle.net/11449/32265 10.1007/978-3-7643-7776-2_10 WOS:000243343400010 |
url |
http://dx.doi.org/10.1007/978-3-7643-7776-2_10 http://hdl.handle.net/11449/32265 |
identifier_str_mv |
Real and Complex Singularities. Cambridge: Birkhauser Boston, p. 127-141, 2007. 10.1007/978-3-7643-7776-2_10 WOS:000243343400010 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Real and Complex Singularities |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
127-141 |
dc.publisher.none.fl_str_mv |
Birkhauser Boston |
publisher.none.fl_str_mv |
Birkhauser Boston |
dc.source.none.fl_str_mv |
Web of Science reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1797789529647611904 |