Periodic motions in forced problems of Kepler type

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...

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Detalles Bibliográficos
Autores principales: Amster, Pablo Gustavo, Haddad, Julián
Publicado: 2011
Materias:
Averaging method
Central force
Forced oscillation
Winding number
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10219722_v18_n6_p649_Amster
http://hdl.handle.net/20.500.12110/paper_10219722_v18_n6_p649_Amster
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_10219722_v18_n6_p649_Amster
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spelling paper:paper_10219722_v18_n6_p649_Amster2023-06-08T16:00:04Z Periodic motions in forced problems of Kepler type Amster, Pablo Gustavo Haddad, Julián Averaging method Central force Forced oscillation Winding number 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. 2011 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10219722_v18_n6_p649_Amster http://hdl.handle.net/20.500.12110/paper_10219722_v18_n6_p649_Amster
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Averaging method
Central force
Forced oscillation
Winding number
spellingShingle Averaging method
Central force
Forced oscillation
Winding number
Amster, Pablo Gustavo
Haddad, Julián
Periodic motions in forced problems of Kepler type
topic_facet Averaging method
Central force
Forced oscillation
Winding number
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.
author Amster, Pablo Gustavo
Haddad, Julián
author_facet Amster, Pablo Gustavo
Haddad, Julián
author_sort Amster, Pablo Gustavo
title Periodic motions in forced problems of Kepler type
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
publishDate 2011
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10219722_v18_n6_p649_Amster
http://hdl.handle.net/20.500.12110/paper_10219722_v18_n6_p649_Amster
work_keys_str_mv AT amsterpablogustavo periodicmotionsinforcedproblemsofkeplertype
AT haddadjulian periodicmotionsinforcedproblemsofkeplertype
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