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Invariant Tori and Cylinders for a Class of Perturbed Hamiltonian Systems

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Book cover The Geometry of Hamiltonian Systems

Part of the book series: Mathematical Sciences Research Institute Publications ((MSRI,volume 22))

Abstract

We start with a relativistic model of the Kepler Problem, which is an isoenergetically non-degenerate central force problem in 2 dimensions. Then we prove the persistence of invariant cylinders and tori for a class of non Hamiltonian perturbations of this system.

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© 1991 Springer-Verlag New York, Inc.

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Lacomba, E.A., Llibre, J., Nunes, A. (1991). Invariant Tori and Cylinders for a Class of Perturbed Hamiltonian Systems. In: Ratiu, T. (eds) The Geometry of Hamiltonian Systems. Mathematical Sciences Research Institute Publications, vol 22. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9725-0_13

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  • DOI: https://doi.org/10.1007/978-1-4613-9725-0_13

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-9727-4

  • Online ISBN: 978-1-4613-9725-0

  • eBook Packages: Springer Book Archive

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