double-struck D signn-forced symmetry breaking of double-struck O sign (2)-equivariant problems
Autor(a) principal: | |
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Data de Publicação: | 2002 |
Outros Autores: | |
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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Repositório Institucional da UNESP |
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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 |
|
_version_ |
1808128656432693248 |