Periodic motions in forced problems of Kepler type

Autores
Amster, P.; Haddad, J.; Ortega, R.; Ureña, A.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. © 2011 Springer Basel AG.
Fil:Amster, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
Fil:Haddad, J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
Fuente
Nonlinear Diff. Equ. Appl. 2011;18(6):649-657
Materia
Averaging method
Central force
Forced oscillation
Winding number
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/2.5/ar
Repositorio
Biblioteca Digital (UBA-FCEN)
Institución
Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
OAI Identificador
paperaa:paper_10219722_v18_n6_p649_Amster

id BDUBAFCEN_cb420840a6f054371f95980221ee92e2
oai_identifier_str paperaa:paper_10219722_v18_n6_p649_Amster
network_acronym_str BDUBAFCEN
repository_id_str 1896
network_name_str Biblioteca Digital (UBA-FCEN)
spelling Periodic motions in forced problems of Kepler typeAmster, P.Haddad, J.Ortega, R.Ureña, A.J.Averaging methodCentral forceForced oscillationWinding numberA 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. © 2011 Springer Basel AG.Fil:Amster, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.Fil:Haddad, J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.2011info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://hdl.handle.net/20.500.12110/paper_10219722_v18_n6_p649_AmsterNonlinear Diff. Equ. Appl. 2011;18(6):649-657reponame:Biblioteca Digital (UBA-FCEN)instname:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturalesinstacron:UBA-FCENenginfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/2.5/ar2026-02-26T11:42:46Zpaperaa:paper_10219722_v18_n6_p649_AmsterInstitucionalhttps://digital.bl.fcen.uba.ar/Universidad públicaNo correspondehttps://digital.bl.fcen.uba.ar/cgi-bin/oaiserver.cgiana@bl.fcen.uba.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:18962026-02-26 11:42:47.339Biblioteca Digital (UBA-FCEN) - Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturalesfalse
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, P.
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, P.
Haddad, J.
Ortega, R.
Ureña, A.J.
author Amster, P.
author_facet Amster, P.
Haddad, J.
Ortega, R.
Ureña, A.J.
author_role author
author2 Haddad, J.
Ortega, R.
Ureña, A.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
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. © 2011 Springer Basel AG.
Fil:Amster, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
Fil:Haddad, J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
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. © 2011 Springer Basel AG.
publishDate 2011
dc.date.none.fl_str_mv 2011
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/20.500.12110/paper_10219722_v18_n6_p649_Amster
url http://hdl.handle.net/20.500.12110/paper_10219722_v18_n6_p649_Amster
dc.language.none.fl_str_mv eng
language eng
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/2.5/ar
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/2.5/ar
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv Nonlinear Diff. Equ. Appl. 2011;18(6):649-657
reponame:Biblioteca Digital (UBA-FCEN)
instname:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
instacron:UBA-FCEN
reponame_str Biblioteca Digital (UBA-FCEN)
collection Biblioteca Digital (UBA-FCEN)
instname_str Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
instacron_str UBA-FCEN
institution UBA-FCEN
repository.name.fl_str_mv Biblioteca Digital (UBA-FCEN) - Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
repository.mail.fl_str_mv ana@bl.fcen.uba.ar
_version_ 1858206360474222592
score 13.176822