Carleman embedding and Lyapunov exponents

Detalhes bibliográficos
Autor(a) principal: Andrade, Roberto Fernandes Silva
Data de Publicação: 1982
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFBA
Texto Completo: http://www.repositorio.ufba.br/ri/handle/ri/13224
Resumo: p. 2271-2275
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spelling Andrade, Roberto Fernandes SilvaAndrade, Roberto Fernandes Silva2013-10-15T15:15:32Z2013-10-15T15:15:32Z19820022-2488http://www.repositorio.ufba.br/ri/handle/ri/13224v. 23, n. 12p. 2271-2275We investigate the solutions of those autonomous systems with quadratic nonlinearities in a Ndimensional vector space together with the solutions of their first variational equation systems by means of the Carleman embedding. An iterative procedure based on this result is developed to evaluate the Lyapunov exponents of the considered systems. We test the method by giving some results for the Lyapunov exponents of the Lorenz model.Submitted by Santiago Fabio (fabio.ssantiago@hotmail.com) on 2013-09-25T20:00:10Z No. of bitstreams: 1 77777777777777777777777.pdf: 599969 bytes, checksum: d87b01e530f7cd73ec1cbe31775318c4 (MD5)Approved for entry into archive by Rodrigo Meirelles(rodrigomei@ufba.br) on 2013-10-15T15:15:32Z (GMT) No. of bitstreams: 1 77777777777777777777777.pdf: 599969 bytes, checksum: d87b01e530f7cd73ec1cbe31775318c4 (MD5)Made available in DSpace on 2013-10-15T15:15:32Z (GMT). No. of bitstreams: 1 77777777777777777777777.pdf: 599969 bytes, checksum: d87b01e530f7cd73ec1cbe31775318c4 (MD5) Previous issue date: 1982SalvadorJournal of Mathematical Physicshttp://dx.doi.org/10.1063/1.525319reponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBACarleman embedding and Lyapunov exponentsJournal of Mathematical Physicsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleenginfo:eu-repo/semantics/openAccessLICENSElicense.txtlicense.txttext/plain1365https://repositorio.ufba.br/bitstream/ri/13224/2/license.txt5371a150bdc863f78dcf39281543bd86MD52ORIGINAL77777777777777777777777.pdf77777777777777777777777.pdfapplication/pdf599969https://repositorio.ufba.br/bitstream/ri/13224/1/77777777777777777777777.pdfd87b01e530f7cd73ec1cbe31775318c4MD51TEXT77777777777777777777777.pdf.txt77777777777777777777777.pdf.txtExtracted texttext/plain21439https://repositorio.ufba.br/bitstream/ri/13224/3/77777777777777777777777.pdf.txtda416178289e0f53fe91632bec60a33bMD53ri/132242022-07-05 14:03:48.211oai:repositorio.ufba.br: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Repositório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestopendoar:19322022-07-05T17:03:48Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false
dc.title.pt_BR.fl_str_mv Carleman embedding and Lyapunov exponents
dc.title.alternative.pt_BR.fl_str_mv Journal of Mathematical Physics
title Carleman embedding and Lyapunov exponents
spellingShingle Carleman embedding and Lyapunov exponents
Andrade, Roberto Fernandes Silva
title_short Carleman embedding and Lyapunov exponents
title_full Carleman embedding and Lyapunov exponents
title_fullStr Carleman embedding and Lyapunov exponents
title_full_unstemmed Carleman embedding and Lyapunov exponents
title_sort Carleman embedding and Lyapunov exponents
author Andrade, Roberto Fernandes Silva
author_facet Andrade, Roberto Fernandes Silva
author_role author
dc.contributor.author.fl_str_mv Andrade, Roberto Fernandes Silva
Andrade, Roberto Fernandes Silva
description p. 2271-2275
publishDate 1982
dc.date.issued.fl_str_mv 1982
dc.date.accessioned.fl_str_mv 2013-10-15T15:15:32Z
dc.date.available.fl_str_mv 2013-10-15T15:15:32Z
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dc.identifier.uri.fl_str_mv http://www.repositorio.ufba.br/ri/handle/ri/13224
dc.identifier.issn.none.fl_str_mv 0022-2488
dc.identifier.number.pt_BR.fl_str_mv v. 23, n. 12
identifier_str_mv 0022-2488
v. 23, n. 12
url http://www.repositorio.ufba.br/ri/handle/ri/13224
dc.language.iso.fl_str_mv eng
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dc.publisher.none.fl_str_mv Journal of Mathematical Physics
publisher.none.fl_str_mv Journal of Mathematical Physics
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