Dynamics of the birational maps arising from F-0 and dP(3) quivers

Detalhes bibliográficos
Autor(a) principal: Ines Cruz
Data de Publicação: 2015
Outros Autores: Helena Mena Matos, Esmeralda Sousa Dias, ME
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.
id RCAP_27b1a57754105542aebf53ab50d61ab5
oai_identifier_str oai:repositorio-aberto.up.pt:10216/109625
network_acronym_str RCAP
network_name_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository_id_str 7160
spelling 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
_version_ 1799135527880884224

Registros relacionados