Periodic orbits of Hamiltonian systems: Applications to perturbed Kepler problems
Guirao, Juan Luis Garcia (Universidad Politécnica de Cartagena. Departamento de Matemática Aplicada y Estadística)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Vera, Juan A. (Universidad Politécnica de Cartagena. Centro Universitario de la Defensa)

Date:	2013
Abstract:	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.
Grants:	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
Note:	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.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Periodic orbits ; Perturbed Kepler problem ; The Matese-Whitman Hamiltonian ; Spatial anisotropic Kepler problem ; Spatial generalized van del Waals Hamiltonian
Published in:	Chaos, solitons and fractals, Vol. 57 (2013) , p. 105-111, ISSN 0960-0779

DOI: 10.1016/j.chaos.2013.09.003

Postprint 15 p, 2.1 MB

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