Dynamics of the birational maps arising from F-0 and dP(3) quivers
Autor(a) principal: | |
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Data de Publicação: | 2015 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | https://repositorio-aberto.up.pt/handle/10216/109625 |
Resumo: | The dynamics of the maps associated to F-0 and dP(3) quivers is studied in detail. We show that the corresponding reduced symplectic maps are conjugate to globally periodic maps by providing explicit conjugations. The dynamics in R-+(N) of the original maps is obtained by lifting the dynamics of these globally periodic maps and the solution of the discrete dynamical systems generated by each map is given. A better understanding of the dynamics is achieved by considering first integrals. The relationship between the complete integrability of the globally periodic maps and the dynamics of the original maps is explored. (C) 2015 Elsevier Inc. All rights reserved. |
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Dynamics of the birational maps arising from F-0 and dP(3) quiversMatemáticaMathematicsThe dynamics of the maps associated to F-0 and dP(3) quivers is studied in detail. We show that the corresponding reduced symplectic maps are conjugate to globally periodic maps by providing explicit conjugations. The dynamics in R-+(N) of the original maps is obtained by lifting the dynamics of these globally periodic maps and the solution of the discrete dynamical systems generated by each map is given. A better understanding of the dynamics is achieved by considering first integrals. The relationship between the complete integrability of the globally periodic maps and the dynamics of the original maps is explored. (C) 2015 Elsevier Inc. All rights reserved.20152015-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://repositorio-aberto.up.pt/handle/10216/109625eng0022-247X10.1016/j.jmaa.2015.06.017Ines CruzHelena Mena MatosEsmeralda Sousa Dias, MEinfo: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:RCAAP2023-11-29T12:34:07Zoai:repositorio-aberto.up.pt:10216/109625Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T23:22:43.586498Repositório 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 |
Dynamics of the birational maps arising from F-0 and dP(3) quivers |
title |
Dynamics of the birational maps arising from F-0 and dP(3) quivers |
spellingShingle |
Dynamics of the birational maps arising from F-0 and dP(3) quivers Ines Cruz Matemática Mathematics |
title_short |
Dynamics of the birational maps arising from F-0 and dP(3) quivers |
title_full |
Dynamics of the birational maps arising from F-0 and dP(3) quivers |
title_fullStr |
Dynamics of the birational maps arising from F-0 and dP(3) quivers |
title_full_unstemmed |
Dynamics of the birational maps arising from F-0 and dP(3) quivers |
title_sort |
Dynamics of the birational maps arising from F-0 and dP(3) quivers |
author |
Ines Cruz |
author_facet |
Ines Cruz Helena Mena Matos Esmeralda Sousa Dias, ME |
author_role |
author |
author2 |
Helena Mena Matos Esmeralda Sousa Dias, ME |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Ines Cruz Helena Mena Matos Esmeralda Sousa Dias, ME |
dc.subject.por.fl_str_mv |
Matemática Mathematics |
topic |
Matemática Mathematics |
description |
The dynamics of the maps associated to F-0 and dP(3) quivers is studied in detail. We show that the corresponding reduced symplectic maps are conjugate to globally periodic maps by providing explicit conjugations. The dynamics in R-+(N) of the original maps is obtained by lifting the dynamics of these globally periodic maps and the solution of the discrete dynamical systems generated by each map is given. A better understanding of the dynamics is achieved by considering first integrals. The relationship between the complete integrability of the globally periodic maps and the dynamics of the original maps is explored. (C) 2015 Elsevier Inc. All rights reserved. |
publishDate |
2015 |
dc.date.none.fl_str_mv |
2015 2015-01-01T00:00:00Z |
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 |
https://repositorio-aberto.up.pt/handle/10216/109625 |
url |
https://repositorio-aberto.up.pt/handle/10216/109625 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
0022-247X 10.1016/j.jmaa.2015.06.017 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
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 |
instname_str |
Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
repository.mail.fl_str_mv |
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1799135527880884224 |