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Zbl 0685.58024
Eliasson, L.H.
Perturbations of stable invariant tori for Hamiltonian systems. (English)
[J] Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 15, No.1, 115-147 (1988). ISSN 0391-173X

It is well known that the stable invariant tori of maximal dimension of an integrable Hamiltonian system in general persist under perturbations of the Hamiltonian. In this paper the perturbation theory of the lower dimensional stable tori is studied, and it is shown that under an appropriate non-degeneracy condition on the Hamiltonian many of these tori persist under perturbations.
[Ch.Bär]
MSC 2000:
*37J40 Perturbations, etc.

Keywords: small divisor problem; stable invariant tori; stable tori; perturbations

Cited in: Zbl 0897.58020

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