info:eu-repo/semantics/article
Periodic motions in forced problems of Kepler type
Fecha
2011-12Registro en:
Amster, Pablo Gustavo; Haddad, Julián Eduardo; Ortega, Rafael; Ureña, Antonio J.; Periodic motions in forced problems of Kepler type; Birkhauser Verlag Ag; Nonlinear Differential Equations And Applications; 18; 6; 12-2011; 649-657
1021-9722
1420-9004
CONICET Digital
CONICET
Autor
Amster, Pablo Gustavo
Haddad, Julián Eduardo
Ortega, Rafael
Ureña, Antonio J.
Resumen
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.