Computing ODE symmetries as abnormal variational symmetries
Autor(a) principal: | |
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Data de Publicação: | 2008 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10198/1965 |
Resumo: | Computer Application |
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Computing ODE symmetries as abnormal variational symmetriesSymmetriesVariational symmetriesDynamic symmetriesODEsComputer algebra systemsOptimal controlAbnormalityComputer ApplicationWe give a new computational method to obtain symmetries of ordinary differential equations. The proposed approach appears as an extension of a recent algorithm to compute variational symmetries of optimal control problems [P.D.F. Gouveia, D.F.M. Torres, Automatic computation of conservation laws in the calculus of variations and optimal control, Comput. Methods Appl. Math. 5 (4) (2005) 387-409], and is based on the resolution of a first order linear PDE that arises as a necessary and sufficient condition of invariance for abnormal optimal control problems. A computer algebra procedure is developed, which permits one to obtain ODE symmetries by the proposed method. Examples are given, and results compared with those obtained by previous available methods.MaplesoftBiblioteca Digital do IPBGouveia, Paulo D.F.Torres, Delfim F.M.2010-02-17T16:51:00Z20082008-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/octet-streamimage/tiffhttp://hdl.handle.net/10198/1965engGouveia, Paulo D.F.; Torres, Delfim F.M. (2008). Computing ODE symmetries as abnormal variational symmetries. Maple Application Centre.info: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:RCAAP2023-11-21T10:06:08Zoai:bibliotecadigital.ipb.pt:10198/1965Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:55:18.216983Repositório 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 |
Computing ODE symmetries as abnormal variational symmetries |
title |
Computing ODE symmetries as abnormal variational symmetries |
spellingShingle |
Computing ODE symmetries as abnormal variational symmetries Gouveia, Paulo D.F. Symmetries Variational symmetries Dynamic symmetries ODEs Computer algebra systems Optimal control Abnormality |
title_short |
Computing ODE symmetries as abnormal variational symmetries |
title_full |
Computing ODE symmetries as abnormal variational symmetries |
title_fullStr |
Computing ODE symmetries as abnormal variational symmetries |
title_full_unstemmed |
Computing ODE symmetries as abnormal variational symmetries |
title_sort |
Computing ODE symmetries as abnormal variational symmetries |
author |
Gouveia, Paulo D.F. |
author_facet |
Gouveia, Paulo D.F. Torres, Delfim F.M. |
author_role |
author |
author2 |
Torres, Delfim F.M. |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Biblioteca Digital do IPB |
dc.contributor.author.fl_str_mv |
Gouveia, Paulo D.F. Torres, Delfim F.M. |
dc.subject.por.fl_str_mv |
Symmetries Variational symmetries Dynamic symmetries ODEs Computer algebra systems Optimal control Abnormality |
topic |
Symmetries Variational symmetries Dynamic symmetries ODEs Computer algebra systems Optimal control Abnormality |
description |
Computer Application |
publishDate |
2008 |
dc.date.none.fl_str_mv |
2008 2008-01-01T00:00:00Z 2010-02-17T16:51:00Z |
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://hdl.handle.net/10198/1965 |
url |
http://hdl.handle.net/10198/1965 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Gouveia, Paulo D.F.; Torres, Delfim F.M. (2008). Computing ODE symmetries as abnormal variational symmetries. Maple Application Centre. |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/octet-stream image/tiff |
dc.publisher.none.fl_str_mv |
Maplesoft |
publisher.none.fl_str_mv |
Maplesoft |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
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RCAAP |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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