The quasi-periodic stability condition (the KAM theorem) for partially-integrable systems
Dynamical Systems
2007-05-23 v1 Mathematical Physics
math.MP
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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Cite
@article{arxiv.math/0301068,
title = {The quasi-periodic stability condition (the KAM theorem) for partially-integrable systems},
author = {G. Sardanashvily},
journal= {arXiv preprint arXiv:math/0301068},
year = {2007}
}
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4 pages