Global Saddles for Planar Maps

Detalhes bibliográficos
Autor(a) principal: Alarcón, B
Data de Publicação: 2016
Outros Autores: Castro, SBSD, Isabel S Labouriau
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: https://repositorio-aberto.up.pt/handle/10216/90671
Resumo: We study the dynamics of planar diffeomorphisms having a unique fixed point that is a hyperbolic local saddle. We obtain sufficient conditions under which the fixed point is a global saddle. We also address the special case of (Formula presented.)-symmetric maps, for which we obtain a similar result for (Formula presented.) homeomorphisms. Some applications to differential equations are also given. © 2016 Springer Science+Business Media New York
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spelling Global Saddles for Planar MapsWe study the dynamics of planar diffeomorphisms having a unique fixed point that is a hyperbolic local saddle. We obtain sufficient conditions under which the fixed point is a global saddle. We also address the special case of (Formula presented.)-symmetric maps, for which we obtain a similar result for (Formula presented.) homeomorphisms. Some applications to differential equations are also given. © 2016 Springer Science+Business Media New York20162016-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://repositorio-aberto.up.pt/handle/10216/90671eng1040-729410.1007/s10884-016-9561-3Alarcón, BCastro, SBSDIsabel S Labouriauinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-11-29T13:59:43Zoai:repositorio-aberto.up.pt:10216/90671Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T23:51:53.040790Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Global Saddles for Planar Maps
title Global Saddles for Planar Maps
spellingShingle Global Saddles for Planar Maps
Alarcón, B
title_short Global Saddles for Planar Maps
title_full Global Saddles for Planar Maps
title_fullStr Global Saddles for Planar Maps
title_full_unstemmed Global Saddles for Planar Maps
title_sort Global Saddles for Planar Maps
author Alarcón, B
author_facet Alarcón, B
Castro, SBSD
Isabel S Labouriau
author_role author
author2 Castro, SBSD
Isabel S Labouriau
author2_role author
author
dc.contributor.author.fl_str_mv Alarcón, B
Castro, SBSD
Isabel S Labouriau
description We study the dynamics of planar diffeomorphisms having a unique fixed point that is a hyperbolic local saddle. We obtain sufficient conditions under which the fixed point is a global saddle. We also address the special case of (Formula presented.)-symmetric maps, for which we obtain a similar result for (Formula presented.) homeomorphisms. Some applications to differential equations are also given. © 2016 Springer Science+Business Media New York
publishDate 2016
dc.date.none.fl_str_mv 2016
2016-01-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv https://repositorio-aberto.up.pt/handle/10216/90671
url https://repositorio-aberto.up.pt/handle/10216/90671
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1040-7294
10.1007/s10884-016-9561-3
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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