double-struck D signn-forced symmetry breaking of double-struck O sign (2)-equivariant problems

Detalhes bibliográficos
Autor(a) principal: Furter, Jacques-Elie
Data de Publicação: 2002
Outros Autores: Sitta, Angela Maria [UNESP]
Tipo de documento: Artigo de conferência
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://www.ingentaconnect.com/content/rse/proca/2002/00000132/00000005/art00009
http://hdl.handle.net/11449/67000
Resumo: We use singularity theory to classify forced symmetry-breaking bifurcation problems f(z, λ, μ) = f1 (z, λ) + μf2(z, λ, μ) = 0, where f1 is double-struck O sign (2)-equivariant and f2 is double-struck D sign n-equivariant with the orthogonal group actions on z ∈ ℝ2. Forced symmetry breaking occurs when the symmetry of the equation changes when parameters are varied. We explicitly apply our results to the branching of subharmonic solutions in a model periodic perturbation of an autonomous equation and sketch further applications.
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spelling double-struck D signn-forced symmetry breaking of double-struck O sign (2)-equivariant problemsWe use singularity theory to classify forced symmetry-breaking bifurcation problems f(z, λ, μ) = f1 (z, λ) + μf2(z, λ, μ) = 0, where f1 is double-struck O sign (2)-equivariant and f2 is double-struck D sign n-equivariant with the orthogonal group actions on z ∈ ℝ2. Forced symmetry breaking occurs when the symmetry of the equation changes when parameters are varied. We explicitly apply our results to the branching of subharmonic solutions in a model periodic perturbation of an autonomous equation and sketch further applications.Department of Mathematical Sciences Brunel University, Uxbridge UB8 3PHDepartamento de Matemática IBILCE-UNESP, Rua Cristovâo Colombo 2265, São José do Rio PretoDepartamento de Matemática IBILCE-UNESP, Rua Cristovâo Colombo 2265, São José do Rio PretoBrunel UniversityUniversidade Estadual Paulista (Unesp)Furter, Jacques-ElieSitta, Angela Maria [UNESP]2014-05-27T11:20:31Z2014-05-27T11:20:31Z2002-10-18info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject1185-1218http://www.ingentaconnect.com/content/rse/proca/2002/00000132/00000005/art00009Royal Society of Edinburgh - Proceedings A, v. 132, n. 5, p. 1185-1218, 2002.0308-2105http://hdl.handle.net/11449/670002-s2.0-0037131689Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengRoyal Society of Edinburgh - Proceedings A0.8891,506info:eu-repo/semantics/openAccess2021-10-23T21:44:13Zoai:repositorio.unesp.br:11449/67000Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T16:27:39.721645Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv double-struck D signn-forced symmetry breaking of double-struck O sign (2)-equivariant problems
title double-struck D signn-forced symmetry breaking of double-struck O sign (2)-equivariant problems
spellingShingle double-struck D signn-forced symmetry breaking of double-struck O sign (2)-equivariant problems
Furter, Jacques-Elie
title_short double-struck D signn-forced symmetry breaking of double-struck O sign (2)-equivariant problems
title_full double-struck D signn-forced symmetry breaking of double-struck O sign (2)-equivariant problems
title_fullStr double-struck D signn-forced symmetry breaking of double-struck O sign (2)-equivariant problems
title_full_unstemmed double-struck D signn-forced symmetry breaking of double-struck O sign (2)-equivariant problems
title_sort double-struck D signn-forced symmetry breaking of double-struck O sign (2)-equivariant problems
author Furter, Jacques-Elie
author_facet Furter, Jacques-Elie
Sitta, Angela Maria [UNESP]
author_role author
author2 Sitta, Angela Maria [UNESP]
author2_role author
dc.contributor.none.fl_str_mv Brunel University
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Furter, Jacques-Elie
Sitta, Angela Maria [UNESP]
description We use singularity theory to classify forced symmetry-breaking bifurcation problems f(z, λ, μ) = f1 (z, λ) + μf2(z, λ, μ) = 0, where f1 is double-struck O sign (2)-equivariant and f2 is double-struck D sign n-equivariant with the orthogonal group actions on z ∈ ℝ2. Forced symmetry breaking occurs when the symmetry of the equation changes when parameters are varied. We explicitly apply our results to the branching of subharmonic solutions in a model periodic perturbation of an autonomous equation and sketch further applications.
publishDate 2002
dc.date.none.fl_str_mv 2002-10-18
2014-05-27T11:20:31Z
2014-05-27T11:20:31Z
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://www.ingentaconnect.com/content/rse/proca/2002/00000132/00000005/art00009
Royal Society of Edinburgh - Proceedings A, v. 132, n. 5, p. 1185-1218, 2002.
0308-2105
http://hdl.handle.net/11449/67000
2-s2.0-0037131689
url http://www.ingentaconnect.com/content/rse/proca/2002/00000132/00000005/art00009
http://hdl.handle.net/11449/67000
identifier_str_mv Royal Society of Edinburgh - Proceedings A, v. 132, n. 5, p. 1185-1218, 2002.
0308-2105
2-s2.0-0037131689
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Royal Society of Edinburgh - Proceedings A
0.889
1,506
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 1185-1218
dc.source.none.fl_str_mv Scopus
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
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