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The quasi-periodic stability condition (the KAM theorem) for partially-integrable systems

G. Sardanashvily
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Abstract

Written with respect to an appropriate Poisson structure, a partially integrable Hamiltonian system is viewed as a completely integrable system with parameters. Then, the theorem on quasi-periodic stability in Ref. [1] (the KAM theorem) can be applied to this system.

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BibTeXRIS

G. Sardanashvily. 2003-01-08. The quasi-periodic stability condition (the KAM theorem) for partially-integrable systems. https://arxiv.org/abs/math/0301068

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