Artículo
Amster, P.; Haddad, J.; Ortega, R.; Ureña, A.J. "Periodic motions in forced problems of Kepler type" (2011) Nonlinear Differential Equations and Applications. 18(6):649-657
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Abstract:
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.
Registro:
| Documento: | Artículo |
| Título: | Periodic motions in forced problems of Kepler type |
| Autor: | Amster, P.; Haddad, J.; Ortega, R.; Ureña, A.J. |
| Filiación: | Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires. Ciudad Universitaria, Pabellón I, 1428 Buenos Aires, Argentina Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Buenos Aires, Argentina Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain |
| Palabras clave: | Averaging method; Central force; Forced oscillation; Winding number |
| Año: | 2011 |
| Volumen: | 18 |
| Número: | 6 |
| Página de inicio: | 649 |
| Página de fin: | 657 |
| DOI: | http://dx.doi.org/10.1007/s00030-011-0111-8 |
| Título revista: | Nonlinear Differential Equations and Applications |
| Título revista abreviado: | Nonlinear Diff. Equ. Appl. |
| ISSN: | 10219722 |
| PDF: | https://bibliotecadigital.exactas.uba.ar/download/paper/paper_10219722_v18_n6_p649_Amster.pdf |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10219722_v18_n6_p649_Amster |
Referencias:
- Ambrosetti, A., Coti Zelati, V., (1993) Periodic Solutions of Singular Lagrangian Systems, , Boston: Birkhäuser
- Amster, P., Maurette, M., Periodic solutions of systems with singularities of repulsive type (2011) Adv. Nonlinear Stud., 11, pp. 201-220
- Coddington, E.A., Levinson, N., (1955) Theory of Ordinary Differential Equations, , New York: McGraw-Hill
- Cronin, J., Fixed points and topological degree in nonlinear analysis (1964) Am. Math. Soc.
- Dieudonné, J., (1974) Éléments D'analyse, , Paris: Gauthier-Villars
- Mawhin, J., Periodic solutions in the golden sixties: the Birth of a Continuation Theorem (2005) Ten Mathematical Essays on Approximation in Analysis and Topology, pp. 199-214. , J. Ferrera, J. López-Gómez, F. R. Ruiz del Portal, Editors, Elsevier, UK
- Moser, J., Zehnder, E., Notes on dynamical systems, Courant Lecture Notes in Mathematics (2005) Am. Math. Soc.
- Solimini, S., On forced dynamical systems with a singularity of repulsive type (1990) Nonlinear Anal., 14, pp. 489-500
Citas:
---------- APA ----------
Amster, P., Haddad, J., Ortega, R. & Ureña, A.J. (2011) . Periodic motions in forced problems of Kepler type. Nonlinear Differential Equations and Applications, 18(6), 649-657.http://dx.doi.org/10.1007/s00030-011-0111-8
---------- CHICAGO ----------
Amster, P., Haddad, J., Ortega, R., Ureña, A.J. "Periodic motions in forced problems of Kepler type" . Nonlinear Differential Equations and Applications 18, no. 6 (2011) : 649-657.http://dx.doi.org/10.1007/s00030-011-0111-8
---------- MLA ----------
Amster, P., Haddad, J., Ortega, R., Ureña, A.J. "Periodic motions in forced problems of Kepler type" . Nonlinear Differential Equations and Applications, vol. 18, no. 6, 2011, pp. 649-657.http://dx.doi.org/10.1007/s00030-011-0111-8
---------- VANCOUVER ----------
Amster, P., Haddad, J., Ortega, R., Ureña, A.J. Periodic motions in forced problems of Kepler type. Nonlinear Diff. Equ. Appl. 2011;18(6):649-657.http://dx.doi.org/10.1007/s00030-011-0111-8
