On the indices of singular points for planar bounded piecewise smooth polynomial vector field

We prove that for any piecewise-smooth bounded polynomial vector field in R2 with finitely many finite H-singular points (which include singular points, hyperbolic pseudo-equilibria and two fold singularities), the sum of the indices of all its finite H-singular points is 1.

Detalles Bibliográficos
Autores: Li, Shimin|||0000-0003-1695-0097, Llibre, Jaume|||0000-0002-9511-5999, Sun, Xianbo
Tipo de recurso: artículo
Fecha de publicación:2023
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:281994
Acceso en línea:https://ddd.uab.cat/record/281994
https://dx.doi.org/urn:doi:10.1016/j.nahs.2023.101350
Access Level:acceso abierto
Palabra clave:Bounded vector field
Index of singular points
Piecewise smooth polynomial vector field
Stereographic projection
id ES_b60c2ec0b8f4453fc24063d35b87453d
oai_identifier_str oai:ddd.uab.cat:281994
network_acronym_str ES
network_name_str España
repository_id_str
spelling On the indices of singular points for planar bounded piecewise smooth polynomial vector fieldPlanar bounded piecewise smooth polynomial vector fieldLi, Shimin|||0000-0003-1695-0097Llibre, Jaume|||0000-0002-9511-5999Sun, XianboBounded vector fieldIndex of singular pointsPiecewise smooth polynomial vector fieldStereographic projectionWe prove that for any piecewise-smooth bounded polynomial vector field in R2 with finitely many finite H-singular points (which include singular points, hyperbolic pseudo-equilibria and two fold singularities), the sum of the indices of all its finite H-singular points is 1. 22023-01-0120232023-01-01Articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/281994https://dx.doi.org/urn:doi:10.1016/j.nahs.2023.101350reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengAgencia Estatal de Investigación https://doi.org/10.13039/501100011033 PID2019-104658GB-I00European Commission https://doi.org/10.13039/501100000780 777911open 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:2819942026-06-06T12:50:31Z
dc.title.none.fl_str_mv On the indices of singular points for planar bounded piecewise smooth polynomial vector field
Planar bounded piecewise smooth polynomial vector field
title On the indices of singular points for planar bounded piecewise smooth polynomial vector field
spellingShingle On the indices of singular points for planar bounded piecewise smooth polynomial vector field
Li, Shimin|||0000-0003-1695-0097
Bounded vector field
Index of singular points
Piecewise smooth polynomial vector field
Stereographic projection
title_short On the indices of singular points for planar bounded piecewise smooth polynomial vector field
title_full On the indices of singular points for planar bounded piecewise smooth polynomial vector field
title_fullStr On the indices of singular points for planar bounded piecewise smooth polynomial vector field
title_full_unstemmed On the indices of singular points for planar bounded piecewise smooth polynomial vector field
title_sort On the indices of singular points for planar bounded piecewise smooth polynomial vector field
dc.creator.none.fl_str_mv Li, Shimin|||0000-0003-1695-0097
Llibre, Jaume|||0000-0002-9511-5999
Sun, Xianbo
author Li, Shimin|||0000-0003-1695-0097
author_facet Li, Shimin|||0000-0003-1695-0097
Llibre, Jaume|||0000-0002-9511-5999
Sun, Xianbo
author_role author
author2 Llibre, Jaume|||0000-0002-9511-5999
Sun, Xianbo
author2_role author
author
dc.subject.none.fl_str_mv Bounded vector field
Index of singular points
Piecewise smooth polynomial vector field
Stereographic projection
topic Bounded vector field
Index of singular points
Piecewise smooth polynomial vector field
Stereographic projection
description We prove that for any piecewise-smooth bounded polynomial vector field in R2 with finitely many finite H-singular points (which include singular points, hyperbolic pseudo-equilibria and two fold singularities), the sum of the indices of all its finite H-singular points is 1.
publishDate 2023
dc.date.none.fl_str_mv 2
2023-01-01
2023
2023-01-01
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/281994
https://dx.doi.org/urn:doi:10.1016/j.nahs.2023.101350
url https://ddd.uab.cat/record/281994
https://dx.doi.org/urn:doi:10.1016/j.nahs.2023.101350
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 PID2019-104658GB-I00
European Commission https://doi.org/10.13039/501100000780 777911
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_ 1869417413816090624
score 15,301603

Similares en LA Referencia