Periodic motions in forced problems of Kepler type

Autores
Amster, Pablo Gustavo; Haddad, Julián Eduardo; Ortega, Rafael; Ureña, Antonio J.
Año de publicación
2011
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
A Newtonian equation in the plane is considered. There is a central force (attractive or repulsive) and an external force λh(t), periodic in time. The periodic second primitive of h(t) defines a planar curve and the number of periodic solutions of the differential equation is linked to the number of loops of this curve, at least when the parameter λ is large.
Fil: Amster, Pablo Gustavo. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Haddad, Julián Eduardo. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Ortega, Rafael. Universidad de Granada. Facultad de Ciencias; España
Fil: Ureña, Antonio J.. Universidad de Granada. Facultad de Ciencias; España
Materia
AVERAGING METHOD
CENTRAL FORCE
FORCED OSCILLATION
WINDING NUMBER
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/68018
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/68018
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Periodic motions in forced problems of Kepler typeAmster, Pablo GustavoHaddad, Julián EduardoOrtega, RafaelUreña, Antonio J.AVERAGING METHODCENTRAL FORCEFORCED OSCILLATIONWINDING NUMBERhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1A Newtonian equation in the plane is considered. There is a central force (attractive or repulsive) and an external force λh(t), periodic in time. The periodic second primitive of h(t) defines a planar curve and the number of periodic solutions of the differential equation is linked to the number of loops of this curve, at least when the parameter λ is large.Fil: Amster, Pablo Gustavo. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Haddad, Julián Eduardo. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Ortega, Rafael. Universidad de Granada. Facultad de Ciencias; EspañaFil: Ureña, Antonio J.. Universidad de Granada. Facultad de Ciencias; EspañaBirkhauser Verlag Ag2011-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/68018Amster, Pablo Gustavo; Haddad, Julián Eduardo; Ortega, Rafael; Ureña, Antonio J.; Periodic motions in forced problems of Kepler type; Birkhauser Verlag Ag; Nonlinear Differential Equations And Applications; 18; 6; 12-2011; 649-6571021-97221420-9004CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s00030-011-0111-8info:eu-repo/semantics/altIdentifier/doi/10.1007/s00030-011-0111-8info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2026-02-26T10:32:23Zoai:ri.conicet.gov.ar:11336/68018instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982026-02-26 10:32:23.939CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Periodic motions in forced problems of Kepler type
title Periodic motions in forced problems of Kepler type
spellingShingle Periodic motions in forced problems of Kepler type
Amster, Pablo Gustavo
AVERAGING METHOD
CENTRAL FORCE
FORCED OSCILLATION
WINDING NUMBER
title_short Periodic motions in forced problems of Kepler type
title_full Periodic motions in forced problems of Kepler type
title_fullStr Periodic motions in forced problems of Kepler type
title_full_unstemmed Periodic motions in forced problems of Kepler type
title_sort Periodic motions in forced problems of Kepler type
dc.creator.none.fl_str_mv Amster, Pablo Gustavo
Haddad, Julián Eduardo
Ortega, Rafael
Ureña, Antonio J.
author Amster, Pablo Gustavo
author_facet Amster, Pablo Gustavo
Haddad, Julián Eduardo
Ortega, Rafael
Ureña, Antonio J.
author_role author
author2 Haddad, Julián Eduardo
Ortega, Rafael
Ureña, Antonio J.
author2_role author
author
author
dc.subject.none.fl_str_mv AVERAGING METHOD
CENTRAL FORCE
FORCED OSCILLATION
WINDING NUMBER
topic AVERAGING METHOD
CENTRAL FORCE
FORCED OSCILLATION
WINDING NUMBER
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv A Newtonian equation in the plane is considered. There is a central force (attractive or repulsive) and an external force λh(t), periodic in time. The periodic second primitive of h(t) defines a planar curve and the number of periodic solutions of the differential equation is linked to the number of loops of this curve, at least when the parameter λ is large.
Fil: Amster, Pablo Gustavo. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Haddad, Julián Eduardo. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Ortega, Rafael. Universidad de Granada. Facultad de Ciencias; España
Fil: Ureña, Antonio J.. Universidad de Granada. Facultad de Ciencias; España
description A Newtonian equation in the plane is considered. There is a central force (attractive or repulsive) and an external force λh(t), periodic in time. The periodic second primitive of h(t) defines a planar curve and the number of periodic solutions of the differential equation is linked to the number of loops of this curve, at least when the parameter λ is large.
publishDate 2011
dc.date.none.fl_str_mv 2011-12
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/68018
Amster, Pablo Gustavo; Haddad, Julián Eduardo; Ortega, Rafael; Ureña, Antonio J.; Periodic motions in forced problems of Kepler type; Birkhauser Verlag Ag; Nonlinear Differential Equations And Applications; 18; 6; 12-2011; 649-657
1021-9722
1420-9004
CONICET Digital
CONICET
url http://hdl.handle.net/11336/68018
identifier_str_mv Amster, Pablo Gustavo; Haddad, Julián Eduardo; Ortega, Rafael; Ureña, Antonio J.; Periodic motions in forced problems of Kepler type; Birkhauser Verlag Ag; Nonlinear Differential Equations And Applications; 18; 6; 12-2011; 649-657
1021-9722
1420-9004
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s00030-011-0111-8
info:eu-repo/semantics/altIdentifier/doi/10.1007/s00030-011-0111-8
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Birkhauser Verlag Ag
publisher.none.fl_str_mv Birkhauser Verlag Ag
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1858306141035954176
score 12.665996

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