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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2011
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_10219722_v18_n6_p649_Amster http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_10219722_v18_n6_p649_Amster_oai |
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I28-R145-paper_10219722_v18_n6_p649_Amster_oai2020-10-19 Amster, P. Haddad, J. Ortega, R. Ureña, A.J. 2011 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. application/pdf http://hdl.handle.net/20.500.12110/paper_10219722_v18_n6_p649_Amster info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar Nonlinear Diff. Equ. Appl. 2011;18(6):649-657 Averaging method Central force Forced oscillation Winding number Periodic motions in forced problems of Kepler type info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_10219722_v18_n6_p649_Amster_oai |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-145 |
| collection |
Repositorio Digital de la Universidad de Buenos Aires (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 |
Artículo Artículo publishedVersion |
| 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 |
| publishDate |
2011 |
| url |
http://hdl.handle.net/20.500.12110/paper_10219722_v18_n6_p649_Amster http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_10219722_v18_n6_p649_Amster_oai |
| work_keys_str_mv |
AT amsterp periodicmotionsinforcedproblemsofkeplertype AT haddadj periodicmotionsinforcedproblemsofkeplertype AT ortegar periodicmotionsinforcedproblemsofkeplertype AT urenaaj periodicmotionsinforcedproblemsofkeplertype |
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1766026729946611712 |