Fold, transcritical and pitchfork singularities for time-reversible systems

Detalhes bibliográficos
Autor(a) principal: Buzzi, C. A.
Data de Publicação: 2005
Outros Autores: Silva, P. R., Teixeira, M. A.
Tipo de documento: Artigo de conferência
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1142/9789812702142_0009
http://hdl.handle.net/11449/35093
Resumo: This paper deals with a class of singularly perturbed reversible planar vector fields around the origin where the normal hyperbolicity assumption is not assumed. We exhibit conditions for the existence of infinitely many periodic orbits and hetero-clinic cycles converging to singular orbits with respect to the Hausdorf distance. In addition, generic normal forms of such singularities are presented.
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spelling Fold, transcritical and pitchfork singularities for time-reversible systemsThis paper deals with a class of singularly perturbed reversible planar vector fields around the origin where the normal hyperbolicity assumption is not assumed. We exhibit conditions for the existence of infinitely many periodic orbits and hetero-clinic cycles converging to singular orbits with respect to the Hausdorf distance. In addition, generic normal forms of such singularities are presented.UNESP, IBILCE, BR-15054000 Sao Jose do Rio Preto, SP, BrazilUNESP, IBILCE, BR-15054000 Sao Jose do Rio Preto, SP, BrazilWorld Scientific Publ Co Pte LtdUniversidade Estadual Paulista (Unesp)Buzzi, C. A.Silva, P. R.Teixeira, M. A.2014-05-20T15:24:29Z2014-05-20T15:24:29Z2005-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject67-74http://dx.doi.org/10.1142/9789812702142_0009Spt 2004: Symmetry and Perturbation Theory. Singapore: World Scientific Publ Co Pte Ltd, p. 67-74, 2005.http://hdl.handle.net/11449/3509310.1142/9789812702142_0009WOS:000234137600009605095586116816166828677607174450000-0002-1430-59860000-0003-2037-8417Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengSpt 2004: Symmetry and Perturbation Theoryinfo:eu-repo/semantics/openAccess2021-12-10T13:27:43Zoai:repositorio.unesp.br:11449/35093Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-12-10T13:27:43Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Fold, transcritical and pitchfork singularities for time-reversible systems
title Fold, transcritical and pitchfork singularities for time-reversible systems
spellingShingle Fold, transcritical and pitchfork singularities for time-reversible systems
Buzzi, C. A.
title_short Fold, transcritical and pitchfork singularities for time-reversible systems
title_full Fold, transcritical and pitchfork singularities for time-reversible systems
title_fullStr Fold, transcritical and pitchfork singularities for time-reversible systems
title_full_unstemmed Fold, transcritical and pitchfork singularities for time-reversible systems
title_sort Fold, transcritical and pitchfork singularities for time-reversible systems
author Buzzi, C. A.
author_facet Buzzi, C. A.
Silva, P. R.
Teixeira, M. A.
author_role author
author2 Silva, P. R.
Teixeira, M. A.
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Buzzi, C. A.
Silva, P. R.
Teixeira, M. A.
description This paper deals with a class of singularly perturbed reversible planar vector fields around the origin where the normal hyperbolicity assumption is not assumed. We exhibit conditions for the existence of infinitely many periodic orbits and hetero-clinic cycles converging to singular orbits with respect to the Hausdorf distance. In addition, generic normal forms of such singularities are presented.
publishDate 2005
dc.date.none.fl_str_mv 2005-01-01
2014-05-20T15:24:29Z
2014-05-20T15:24:29Z
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/10.1142/9789812702142_0009
Spt 2004: Symmetry and Perturbation Theory. Singapore: World Scientific Publ Co Pte Ltd, p. 67-74, 2005.
http://hdl.handle.net/11449/35093
10.1142/9789812702142_0009
WOS:000234137600009
6050955861168161
6682867760717445
0000-0002-1430-5986
0000-0003-2037-8417
url http://dx.doi.org/10.1142/9789812702142_0009
http://hdl.handle.net/11449/35093
identifier_str_mv Spt 2004: Symmetry and Perturbation Theory. Singapore: World Scientific Publ Co Pte Ltd, p. 67-74, 2005.
10.1142/9789812702142_0009
WOS:000234137600009
6050955861168161
6682867760717445
0000-0002-1430-5986
0000-0003-2037-8417
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Spt 2004: Symmetry and Perturbation Theory
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 67-74
dc.publisher.none.fl_str_mv World Scientific Publ Co Pte Ltd
publisher.none.fl_str_mv World Scientific Publ Co Pte Ltd
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
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