Darboux theory of integrability on the Clifford n-dimensional torus

For the polynomial vector fields on a Clifford n-dimensional torus, we develop a Darboux theory of integrability. Moreover, we study the optimal maximum number of invariant meridians in terms of the degree of the polynomial vector field.

Detalhes bibliográficos
Autores: Llibre, Jaume|||0000-0002-9511-5999, Valls, Clàudia|||0000-0001-8279-1229
Formato: artículo
Fecha de publicación:2024
País:España
Recursos:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:299747
Acesso em linha:https://ddd.uab.cat/record/299747
https://dx.doi.org/urn:doi:10.1016/j.bulsci.2024.103403
Access Level:acceso abierto
Palavra-chave:Darboux integrability
Clifford torus
Invariant algebraic variety
Exponential factor
Meridian
id ES_8255fe4a7502fbd79ccf802e2c7a3576
oai_identifier_str oai:ddd.uab.cat:299747
network_acronym_str ES
network_name_str España
repository_id_str
spelling Darboux theory of integrability on the Clifford n-dimensional torusLlibre, Jaume|||0000-0002-9511-5999Valls, Clàudia|||0000-0001-8279-1229Darboux integrabilityClifford torusInvariant algebraic varietyExponential factorMeridianFor the polynomial vector fields on a Clifford n-dimensional torus, we develop a Darboux theory of integrability. Moreover, we study the optimal maximum number of invariant meridians in terms of the degree of the polynomial vector field. 22024-01-0120242024-01-01Articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/299747https://dx.doi.org/urn:doi:10.1016/j.bulsci.2024.103403reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengAgencia Estatal de Investigación https://doi.org/10.13039/501100011033 PID2022-136613NB-I00European Commission https://doi.org/10.13039/501100000780 777911Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2021/SGR-00113open accesshttp://purl.org/coar/access_right/c_abf2Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades.https://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:2997472026-06-06T12:50:31Z
dc.title.none.fl_str_mv Darboux theory of integrability on the Clifford n-dimensional torus
title Darboux theory of integrability on the Clifford n-dimensional torus
spellingShingle Darboux theory of integrability on the Clifford n-dimensional torus
Llibre, Jaume|||0000-0002-9511-5999
Darboux integrability
Clifford torus
Invariant algebraic variety
Exponential factor
Meridian
title_short Darboux theory of integrability on the Clifford n-dimensional torus
title_full Darboux theory of integrability on the Clifford n-dimensional torus
title_fullStr Darboux theory of integrability on the Clifford n-dimensional torus
title_full_unstemmed Darboux theory of integrability on the Clifford n-dimensional torus
title_sort Darboux theory of integrability on the Clifford n-dimensional torus
dc.creator.none.fl_str_mv Llibre, Jaume|||0000-0002-9511-5999
Valls, Clàudia|||0000-0001-8279-1229
author Llibre, Jaume|||0000-0002-9511-5999
author_facet Llibre, Jaume|||0000-0002-9511-5999
Valls, Clàudia|||0000-0001-8279-1229
author_role author
author2 Valls, Clàudia|||0000-0001-8279-1229
author2_role author
dc.subject.none.fl_str_mv Darboux integrability
Clifford torus
Invariant algebraic variety
Exponential factor
Meridian
topic Darboux integrability
Clifford torus
Invariant algebraic variety
Exponential factor
Meridian
description For the polynomial vector fields on a Clifford n-dimensional torus, we develop a Darboux theory of integrability. Moreover, we study the optimal maximum number of invariant meridians in terms of the degree of the polynomial vector field.
publishDate 2024
dc.date.none.fl_str_mv 2
2024-01-01
2024
2024-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/299747
https://dx.doi.org/urn:doi:10.1016/j.bulsci.2024.103403
url https://ddd.uab.cat/record/299747
https://dx.doi.org/urn:doi:10.1016/j.bulsci.2024.103403
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agencia Estatal de Investigación https://doi.org/10.13039/501100011033 PID2022-136613NB-I00
European Commission https://doi.org/10.13039/501100000780 777911
Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2021/SGR-00113
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869412039001112576
score 15,811543

Registos relacionados