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Abstract:

We prove existence and multiplicity of periodic motions for the forced 2-body problem under conditions of topological character. In different cases, the lower bounds obtained for the number of solutions are related to the winding number of a curve in the plane and the homology of a space in ℝ3. © 2016 Juliusz Schauder Centre for Nonlinear Studies.

Registro:

Documento: Artículo
Título:On existence of periodic solutions for kepler type problems
Autor:Amster, P.; Haddad, J.
Filiación:Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires and IMAS-CONICET, Ciudad Universitaria Pab. I, Buenos Aires, 1428, Argentina
Departamento de Matemática, ICEx Universidade Federal de Minas Gerais, Belo Horizonte, 30.123-970, Brazil
Palabras clave:Averaging method; Forced 2-body problem; Multiplicity; Periodic solutions; Topological degree
Año:2016
Volumen:48
Número:2
Página de inicio:465
Página de fin:476
DOI: http://dx.doi.org/10.12775/TMNA.2016.053
Título revista:Topological Methods in Nonlinear Analysis
Título revista abreviado:Topol. Method Nonlinear Anal.
ISSN:12303429
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_12303429_v48_n2_p465_Amster

Referencias:

  • Abraham, R., Marsden, J.E., Ratiu, T.S., (1989) Manifolds, Tensor Analysis and Applications, , Applied Mathematical Sciences 75, Springer
  • Amster, P., Haddad, J., Ortega, R., Ureña, A.J., Periodic motions in forced problems of Kepler type (2011) Nonlinear Differential Equations Appl., 18, pp. 649-657
  • Amster, P., Maurette, M., Periodic solutions of systems with singularities of repulsive type (2011) Adv. Nonlinear Stud., 11, pp. 201-220
  • Banyaga, A., Hurtubise, D., Lectures on Morse Homology (2004) Kluwer Texts in the Mathematical Sciences, 29. , Springer
  • Cronin, J., Fixed Points and Topological Degree in Nonlinear Analysis (1964) Math. Surveys, (11). , Amer. Math. Soc. Providence R.I
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  • Hopf, H., Vektorfelder in n-dimensionalen Mannigfaltigkeiten (1926) Math. Ann, 96, pp. 225-250
  • Martinez-Amores, P., Mawhin, J., Ortega, R., Willem, M., Generic results for the existence of nondegenerate periodic solutions of some differential systems with periodic nonlinearities (1991) J. Differential Equations, 91, pp. 138-148
  • Mawhin, J., (1979) Topological degree methods in nonlinear boundary value problems, , Regional Conf. Ser. Math. 40, Amer. Math. Soc., Providence, RI
  • Mawhin, J., (2005) Periodic solutions in the goldensSixties: The birth of a Continuation Theorem, pp. 199-214. , Ten Mathematical Essays on Approximation in Analysis and Topology (J. Ferrera, J. López-Gómez, F.R. Ruiz del Portal, eds.), Elsevier
  • Spanier, E.H., (1994) Algebraic Topology, , Springer

Citas:

---------- APA ----------
Amster, P. & Haddad, J. (2016) . On existence of periodic solutions for kepler type problems. Topological Methods in Nonlinear Analysis, 48(2), 465-476.
http://dx.doi.org/10.12775/TMNA.2016.053
---------- CHICAGO ----------
Amster, P., Haddad, J. "On existence of periodic solutions for kepler type problems" . Topological Methods in Nonlinear Analysis 48, no. 2 (2016) : 465-476.
http://dx.doi.org/10.12775/TMNA.2016.053
---------- MLA ----------
Amster, P., Haddad, J. "On existence of periodic solutions for kepler type problems" . Topological Methods in Nonlinear Analysis, vol. 48, no. 2, 2016, pp. 465-476.
http://dx.doi.org/10.12775/TMNA.2016.053
---------- VANCOUVER ----------
Amster, P., Haddad, J. On existence of periodic solutions for kepler type problems. Topol. Method Nonlinear Anal. 2016;48(2):465-476.
http://dx.doi.org/10.12775/TMNA.2016.053