Normal form transformation around the non-elliptic points of the Hénon-Heiles model

Detalhes bibliográficos
Autor(a) principal: Pinho, Suani Tavares Rubim de
Data de Publicação: 1993
Outros Autores: Andrade, Roberto Fernandes Silva
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFBA
Texto Completo: http://www.repositorio.ufba.br/ri/handle/ri/8704
Resumo: Texto completo: acesso restrito. p.398–402
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spelling Pinho, Suani Tavares Rubim deAndrade, Roberto Fernandes SilvaPinho, Suani Tavares Rubim deAndrade, Roberto Fernandes Silva2013-02-27T16:19:56Z19930375-9601http://www.repositorio.ufba.br/ri/handle/ri/8704v. 179, n. 6Texto completo: acesso restrito. p.398–402We present a construction of a normal form transformation (NFT) around the three non-elliptic fixed points of the standard Hénon-Heiles model. We discuss the procedure and the obtained expression for the trajectory in the context of a theorem of Moser. A numerical evaluation of the obtained expression shows that the NFT evolution is quite accurate in a neighbourhood of these points.Submitted by Suelen Reis (suelen_suzane@hotmail.com) on 2013-02-22T12:19:38Z No. of bitstreams: 1 Pinho.pdf: 274299 bytes, checksum: e86cbd1c0ab370c39a6087050df9d85e (MD5)Rejected by Alda Lima da Silva(sivalda@ufba.br), reason: Material de Física on 2013-02-25T18:07:21Z (GMT)Submitted by Suelen Reis (suelen_suzane@hotmail.com) on 2013-02-27T16:18:12Z No. of bitstreams: 1 Pinho.pdf: 274299 bytes, checksum: e86cbd1c0ab370c39a6087050df9d85e (MD5)Approved for entry into archive by Rodrigo Meirelles(rodrigomei@ufba.br) on 2013-02-27T16:19:56Z (GMT) No. of bitstreams: 1 Pinho.pdf: 274299 bytes, checksum: e86cbd1c0ab370c39a6087050df9d85e (MD5)Made available in DSpace on 2013-02-27T16:19:56Z (GMT). No. of bitstreams: 1 Pinho.pdf: 274299 bytes, checksum: e86cbd1c0ab370c39a6087050df9d85e (MD5) Previous issue date: 1993http://dx.doi.org/10.1016/0375-9601(93)90097-Jreponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBANormal form transformation around the non-elliptic points of the Hénon-Heiles modelPhysics Letters Ainfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article10000-01-01enginfo:eu-repo/semantics/openAccessORIGINALPinho.pdfPinho.pdfapplication/pdf274299https://repositorio.ufba.br/bitstream/ri/8704/1/Pinho.pdfe86cbd1c0ab370c39a6087050df9d85eMD51LICENSElicense.txtlicense.txttext/plain1762https://repositorio.ufba.br/bitstream/ri/8704/2/license.txt1b89a9a0548218172d7c829f87a0eab9MD52TEXTPinho.pdf.txtPinho.pdf.txtExtracted texttext/plain13303https://repositorio.ufba.br/bitstream/ri/8704/3/Pinho.pdf.txt149dba80bbb28621c499750ae2883418MD53ri/87042022-07-05 14:03:48.81oai: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 Normal form transformation around the non-elliptic points of the Hénon-Heiles model
dc.title.alternative.pt_BR.fl_str_mv Physics Letters A
title Normal form transformation around the non-elliptic points of the Hénon-Heiles model
spellingShingle Normal form transformation around the non-elliptic points of the Hénon-Heiles model
Pinho, Suani Tavares Rubim de
title_short Normal form transformation around the non-elliptic points of the Hénon-Heiles model
title_full Normal form transformation around the non-elliptic points of the Hénon-Heiles model
title_fullStr Normal form transformation around the non-elliptic points of the Hénon-Heiles model
title_full_unstemmed Normal form transformation around the non-elliptic points of the Hénon-Heiles model
title_sort Normal form transformation around the non-elliptic points of the Hénon-Heiles model
author Pinho, Suani Tavares Rubim de
author_facet Pinho, Suani Tavares Rubim de
Andrade, Roberto Fernandes Silva
author_role author
author2 Andrade, Roberto Fernandes Silva
author2_role author
dc.contributor.author.fl_str_mv Pinho, Suani Tavares Rubim de
Andrade, Roberto Fernandes Silva
Pinho, Suani Tavares Rubim de
Andrade, Roberto Fernandes Silva
description Texto completo: acesso restrito. p.398–402
publishDate 1993
dc.date.issued.fl_str_mv 1993
dc.date.accessioned.fl_str_mv 2013-02-27T16:19:56Z
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://www.repositorio.ufba.br/ri/handle/ri/8704
dc.identifier.issn.none.fl_str_mv 0375-9601
dc.identifier.number.pt_BR.fl_str_mv v. 179, n. 6
identifier_str_mv 0375-9601
v. 179, n. 6
url http://www.repositorio.ufba.br/ri/handle/ri/8704
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/10.1016/0375-9601(93)90097-J
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFBA
instname:Universidade Federal da Bahia (UFBA)
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