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Invariant hyperbolic tori for Hamiltonian systems with degeneracy

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  • This paper deals with a problem, when the invariant hyperbolic tori for Hamiltonian systems persist under perturbation. An existence theorem about such invariant tori is proved. Because the unperturbed systems possess the stronger degeneracy, this generalizes the classical KAM theorem and a well known result of Graff.
    Mathematics Subject Classification: 58F05, 58F27, 58F30.

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