Gennadi Aleksandrovich Sardanashvily
Abstract
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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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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.
Key concepts: Integrable system, Kolmogorov–Arnold–Moser theorem, Hamiltonian system, Stability theorem, Mathematics, Stability (learning theory), Pure mathematics, Mathematical analysis