Fold, transcritical and pitchfork singularities for time-reversible systems
Autor(a) principal: | |
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Data de Publicação: | 2005 |
Outros Autores: | , |
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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Repositório Institucional da UNESP |
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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:29462024-05-23T20:21:57.460849Repositório 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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1803045665817755648 |