Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/348167
Full metadata record
DC FieldValueLanguage
dc.contributor.CRUESPUNIVERSIDADE ESTADUAL DE CAMPINASpt_BR
dc.contributor.authorunicampTeixeira, Marco Antonio-
dc.typeArtigopt_BR
dc.titleOn global linearization of planar involutionspt_BR
dc.contributor.authorPires, Benito-
dc.contributor.authorTeixeira, Marco Antonio-
dc.subjectTeoria do ponto fixopt_BR
dc.subject.otherlanguageFixed point theorypt_BR
dc.description.abstractLet φ: ℝ2 → ℝ2 be an orientation-preserving C 1 involution such that φ(0) = 0. Let Spc(φ) = {Eigenvalues of Dφ(p) | p ∈ ℝ2}. We prove that if Spc(φ) ⊂ ℝ or Spc(φ) ∩ [1, 1 + ε) = ∅ for some ε > 0, then φ is globally C 1 conjugate to the linear involution D φ(0) via the conjugacy h = (I + Dφ(0)φ)/2,where I: ℝ2 → ℝ2 is the identity map. Similarly, we prove that if φ is an orientation-reversing C 1 involution such that φ(0) = 0 and Trace (Dφ(0)Dφ(p) > − 1 for all p ∈ ℝ2, then φ is globally C 1 conjugate to the linear involution Dφ(0) via the conjugacy h. Finally, we show that h may fail to be a global linearization of φ if the above conditions are not fulfilledpt_BR
dc.relation.ispartofBulletin of the brazilian mathematical societypt_BR
dc.relation.ispartofabbreviationBull. braz. math. soc.pt_BR
dc.publisher.cityHeidelbergpt_BR
dc.publisher.countryAlemanhapt_BR
dc.publisherSpringerpt_BR
dc.date.issued2012-
dc.date.monthofcirculationDec.pt_BR
dc.language.isoengpt_BR
dc.description.volume43pt_BR
dc.description.firstpage637pt_BR
dc.description.lastpage653pt_BR
dc.rightsFechadopt_BR
dc.sourceWOSpt_BR
dc.identifier.issn1678-7544pt_BR
dc.identifier.eissn1678-7714pt_BR
dc.identifier.doi10.1007/s00574-012-0030-2pt_BR
dc.identifier.urlhttps://link.springer.com/article/10.1007%2Fs00574-012-0030-2pt_BR
dc.description.sponsorshipFUNDAÇÃO DE AMPARO À PESQUISA DO ESTADO DE SÃO PAULO - FAPESPpt_BR
dc.description.sponsordocumentnumber2009/02380-0; 2008/02841-4; 2007/06896-5pt_BR
dc.date.available2020-08-27T19:10:19Z-
dc.date.accessioned2020-08-27T19:10:19Z-
dc.description.provenanceSubmitted by Thais de Brito Barroso (tbrito@unicamp.br) on 2020-08-27T19:10:19Z No. of bitstreams: 0. Added 1 bitstream(s) on 2021-01-04T15:14:26Z : No. of bitstreams: 1 000310951500007.pdf: 238661 bytes, checksum: 040b1152b986e7bc9c5ee98d1108fd49 (MD5)en
dc.description.provenanceMade available in DSpace on 2020-08-27T19:10:19Z (GMT). No. of bitstreams: 0 Previous issue date: 2012en
dc.identifier.urihttp://repositorio.unicamp.br/jspui/handle/REPOSIP/348167-
dc.contributor.departmentDepartamento de Matemáticapt_BR
dc.contributor.unidadeInstituto de Matemática, Estatística e Computação Científicapt_BR
dc.subject.keywordPlanar involutionpt_BR
dc.subject.keywordLinearizationpt_BR
dc.subject.keywordSmooth conjugacypt_BR
dc.identifier.source000310951500007pt_BR
dc.creator.orcid0000-0002-5386-9282pt_BR
dc.type.formArtigopt_BR
Appears in Collections:IMECC - Artigos e Outros Documentos

Files in This Item:
File Description SizeFormat 
000310951500007.pdf233.07 kBAdobe PDFView/Open


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.