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Página principal > Artículos > Artículos publicados > Periodic orbits of Hamiltonian systems: Applications to perturbed Kepler problems |
Fecha: | 2013 |
Resumen: | We provide for a class of Hamiltonian systems in the action-angle variables sufficient conditions for showing the existence of periodic orbits. We expand this result to the study of the existence of periodic orbits of perturbed spatial Keplerian Hamiltonians with axial symmetry. Finally, we apply these general results for finding periodic orbits of the Matese-Whitman Hamiltonian, of the spatial anisotropic Hamiltonian and of the spatial generalized van der Waals Hamiltonian. |
Ayudas: | Ministerio de Economía y Competitividad MTM2011-22587 Ministerio de Economía y Competitividad MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410 European Commission 316338 European Commission 318999 |
Nota: | Agraïments: We appreciate very much the comments of the reviewer which help us to improve the presentation of our results. The first author was partially supported by Junta de Comunidades de Castilla-La Mancha, grant number PEII09-0220-0222. The third author was partially supported by Fundación Séneca de la Región de Murcia grant number 12001/PI/09. |
Derechos: | Tots els drets reservats. |
Lengua: | Anglès |
Documento: | Article ; recerca ; Versió acceptada per publicar |
Materia: | Periodic orbits ; Perturbed Kepler problem ; The Matese-Whitman Hamiltonian ; Spatial anisotropic Kepler problem ; Spatial generalized van del Waals Hamiltonian |
Publicado en: | Chaos, solitons and fractals, Vol. 57 (2013) , p. 105-111, ISSN 0960-0779 |
Postprint 15 p, 2.1 MB |