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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Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_10219722_v18_n6_p649_Amster |
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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 |
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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 |
_version_ |
1782028627914784768 |