The criticality of centers of potential systems at the outer boundary

The number of critical periodic orbits that bifurcate from the outer boundary of a potential center is studied. We call this number the criticality at the outer boundary. Our main results provide sufficient conditions in order to ensure that this number is exactly 0 and 1. We apply them to study the...

Descripción completa

Detalles Bibliográficos
Autores: Mañosas, Francesc|||0000-0003-2535-0501, Rojas, David|||0000-0001-7247-4705, Villadelprat Yagüe, Jordi|||0000-0002-1168-9750
Tipo de recurso: artículo
Fecha de publicación:2016
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:169462
Acceso en línea:https://ddd.uab.cat/record/169462
https://dx.doi.org/urn:doi:10.1016/j.jde.2015.11.040
Access Level:acceso abierto
Palabra clave:Bifurcation
Center
Critical periodic orbit
Criticality
Period function
id ES_ca16cbd918525e9aaab2fc0cd7449876
oai_identifier_str oai:ddd.uab.cat:169462
network_acronym_str ES
network_name_str España
repository_id_str
spelling The criticality of centers of potential systems at the outer boundaryMañosas, Francesc|||0000-0003-2535-0501Rojas, David|||0000-0001-7247-4705Villadelprat Yagüe, Jordi|||0000-0002-1168-9750BifurcationCenterCritical periodic orbitCriticalityPeriod functionThe number of critical periodic orbits that bifurcate from the outer boundary of a potential center is studied. We call this number the criticality at the outer boundary. Our main results provide sufficient conditions in order to ensure that this number is exactly 0 and 1. We apply them to study the bifurcation diagram of the period function of X = -y∂ x ((x 1) p - (x 1) q )∂ y with q < p. This family was previously studied for q = 1 by Y. Miyamoto and K. Yagasaki. 22016-01-0120162016-01-01Articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/169462https://dx.doi.org/urn:doi:10.1016/j.jde.2015.11.040reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengMinisterio de Educación y Ciencia MTM2014-52209-C2-Popen accesshttp://purl.org/coar/access_right/c_abf2Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets.https://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:1694622026-06-06T12:50:31Z
dc.title.none.fl_str_mv The criticality of centers of potential systems at the outer boundary
title The criticality of centers of potential systems at the outer boundary
spellingShingle The criticality of centers of potential systems at the outer boundary
Mañosas, Francesc|||0000-0003-2535-0501
Bifurcation
Center
Critical periodic orbit
Criticality
Period function
title_short The criticality of centers of potential systems at the outer boundary
title_full The criticality of centers of potential systems at the outer boundary
title_fullStr The criticality of centers of potential systems at the outer boundary
title_full_unstemmed The criticality of centers of potential systems at the outer boundary
title_sort The criticality of centers of potential systems at the outer boundary
dc.creator.none.fl_str_mv Mañosas, Francesc|||0000-0003-2535-0501
Rojas, David|||0000-0001-7247-4705
Villadelprat Yagüe, Jordi|||0000-0002-1168-9750
author Mañosas, Francesc|||0000-0003-2535-0501
author_facet Mañosas, Francesc|||0000-0003-2535-0501
Rojas, David|||0000-0001-7247-4705
Villadelprat Yagüe, Jordi|||0000-0002-1168-9750
author_role author
author2 Rojas, David|||0000-0001-7247-4705
Villadelprat Yagüe, Jordi|||0000-0002-1168-9750
author2_role author
author
dc.subject.none.fl_str_mv Bifurcation
Center
Critical periodic orbit
Criticality
Period function
topic Bifurcation
Center
Critical periodic orbit
Criticality
Period function
description The number of critical periodic orbits that bifurcate from the outer boundary of a potential center is studied. We call this number the criticality at the outer boundary. Our main results provide sufficient conditions in order to ensure that this number is exactly 0 and 1. We apply them to study the bifurcation diagram of the period function of X = -y∂ x ((x 1) p - (x 1) q )∂ y with q < p. This family was previously studied for q = 1 by Y. Miyamoto and K. Yagasaki.
publishDate 2016
dc.date.none.fl_str_mv 2
2016-01-01
2016
2016-01-01
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/169462
https://dx.doi.org/urn:doi:10.1016/j.jde.2015.11.040
url https://ddd.uab.cat/record/169462
https://dx.doi.org/urn:doi:10.1016/j.jde.2015.11.040
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Educación y Ciencia MTM2014-52209-C2-P
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
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://rightsstatements.org/vocab/InC/1.0/
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_ 1869419449069600768
score 15,300719

Similares en LA Referencia