Periodic motions in forced problems of Kepler type

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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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Autores principales: Amster, P., Haddad, J., Ortega, R., Ureña, A.J.
Formato: JOUR
Materias:
Averaging method
Central force
Forced oscillation
Winding number
Acceso en línea: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 todo:paper_10219722_v18_n6_p649_Amster
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spelling todo:paper_10219722_v18_n6_p649_Amster2023-10-03T15:56:43Z Periodic motions in forced problems of Kepler type Amster, P. Haddad, J. Ortega, R. Ureña, A.J. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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, P.
Haddad, J.
Ortega, R.
Ureña, A.J.
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.
format JOUR
author Amster, P.
Haddad, J.
Ortega, R.
Ureña, A.J.
author_facet Amster, P.
Haddad, J.
Ortega, R.
Ureña, A.J.
author_sort Amster, P.
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
url http://hdl.handle.net/20.500.12110/paper_10219722_v18_n6_p649_Amster
work_keys_str_mv AT amsterp periodicmotionsinforcedproblemsofkeplertype
AT haddadj periodicmotionsinforcedproblemsofkeplertype
AT ortegar periodicmotionsinforcedproblemsofkeplertype
AT urenaaj periodicmotionsinforcedproblemsofkeplertype
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