Infinitesimal Lyapunov functions for singular flows

Detalhes bibliográficos
Autor(a) principal: Araujo, Vitor
Data de Publicação: 2013
Outros Autores: Salgado, Luciana
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFBA
Texto Completo: http://repositorio.ufba.br/ri/handle/ri/14780
Resumo: Texto completo: acesso restrito. p. 863-897
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spelling Araujo, VitorSalgado, LucianaAraujo, VitorSalgado, Luciana2014-04-01T14:23:54Z20130025-5874http://repositorio.ufba.br/ri/handle/ri/14780v. 275, n. 3-4Texto completo: acesso restrito. p. 863-897We present an extension of the notion of infinitesimal Lyapunov function to singular flows, and from this technique we deduce a characterization of partial/sectional hyperbolic sets. In absence of singularities, we can also characterize uniform hyperbolicity. These conditions can be expressed using the space derivative DX of the vector field X together with a field of infinitesimal Lyapunov functions only, and are reduced to checking that a certain symmetric operator is positive definite at the tangent space of every point of the trapping region.Submitted by Suelen Reis (suziy.ellen@gmail.com) on 2014-04-01T14:23:53Z No. of bitstreams: 1 art%3A10.1007%2Fs00209-013-1163-8.pdf: 466195 bytes, checksum: b715bddd97e6fbd4adc2b2af32c81216 (MD5)Made available in DSpace on 2014-04-01T14:23:54Z (GMT). No. of bitstreams: 1 art%3A10.1007%2Fs00209-013-1163-8.pdf: 466195 bytes, checksum: b715bddd97e6fbd4adc2b2af32c81216 (MD5) Previous issue date: 2013http://dx.doi.org/10.1007/s00209-013-1163-8reponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBADominated splittingPartial hyperbolicitySectional hyperbolicityInfinitesimal Lyapunov functionInfinitesimal Lyapunov functions for singular flowsMathematische Zeitschriftinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article10000-01-01info:eu-repo/semantics/openAccessengLICENSElicense.txtlicense.txttext/plain1345https://repositorio.ufba.br/bitstream/ri/14780/2/license.txt0d4b811ef71182510d2015daa7c8a900MD52ORIGINALart%3A10.1007%2Fs00209-013-1163-8.pdfart%3A10.1007%2Fs00209-013-1163-8.pdfapplication/pdf466195https://repositorio.ufba.br/bitstream/ri/14780/1/art%253A10.1007%252Fs00209-013-1163-8.pdfb715bddd97e6fbd4adc2b2af32c81216MD51TEXTart%3A10.1007%2Fs00209-013-1163-8.pdf.txtart%3A10.1007%2Fs00209-013-1163-8.pdf.txtExtracted texttext/plain102256https://repositorio.ufba.br/bitstream/ri/14780/3/art%253A10.1007%252Fs00209-013-1163-8.pdf.txt580102923e1eada98e2ac2abfcaeb567MD53ri/147802022-07-05 14:03:08.913oai:repositorio.ufba.br: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Repositório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestopendoar:19322022-07-05T17:03:08Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false
dc.title.pt_BR.fl_str_mv Infinitesimal Lyapunov functions for singular flows
dc.title.alternative.pt_BR.fl_str_mv Mathematische Zeitschrift
title Infinitesimal Lyapunov functions for singular flows
spellingShingle Infinitesimal Lyapunov functions for singular flows
Araujo, Vitor
Dominated splitting
Partial hyperbolicity
Sectional hyperbolicity
Infinitesimal Lyapunov function
title_short Infinitesimal Lyapunov functions for singular flows
title_full Infinitesimal Lyapunov functions for singular flows
title_fullStr Infinitesimal Lyapunov functions for singular flows
title_full_unstemmed Infinitesimal Lyapunov functions for singular flows
title_sort Infinitesimal Lyapunov functions for singular flows
author Araujo, Vitor
author_facet Araujo, Vitor
Salgado, Luciana
author_role author
author2 Salgado, Luciana
author2_role author
dc.contributor.author.fl_str_mv Araujo, Vitor
Salgado, Luciana
Araujo, Vitor
Salgado, Luciana
dc.subject.por.fl_str_mv Dominated splitting
Partial hyperbolicity
Sectional hyperbolicity
Infinitesimal Lyapunov function
topic Dominated splitting
Partial hyperbolicity
Sectional hyperbolicity
Infinitesimal Lyapunov function
description Texto completo: acesso restrito. p. 863-897
publishDate 2013
dc.date.issued.fl_str_mv 2013
dc.date.accessioned.fl_str_mv 2014-04-01T14:23:54Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://repositorio.ufba.br/ri/handle/ri/14780
dc.identifier.issn.none.fl_str_mv 0025-5874
dc.identifier.number.pt_BR.fl_str_mv v. 275, n. 3-4
identifier_str_mv 0025-5874
v. 275, n. 3-4
url http://repositorio.ufba.br/ri/handle/ri/14780
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.pt_BR.fl_str_mv http://dx.doi.org/10.1007/s00209-013-1163-8
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFBA
instname:Universidade Federal da Bahia (UFBA)
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