The Reduction Method in the Theory of Lie-Algebraically Integrable Oscillatory Hamiltonian Systems

• Published in: Український математичний журнал
• Date: 2003
• Main Authors: Prykarpatsky, A.K., Samoylenko, V.Hr., Taneri, U.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2003
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/163817
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The Reduction Method in the Theory of Lie-Algebraically Integrable Oscillatory Hamiltonian Systems / A.K. Prykarpatsky, V.Hr. Samoylenko, U. Taneri // Український математичний журнал. — 2003. — Т. 55, № 2. — С. 232–240. — Бібліогр.: 19 назв. — англ.

We study the problem of the complete integrability of nonlinear oscillatory dynamical systems connected, in particular, both with the Cartan decomposition of a Lie algebra G=K⊕P, where K is the Lie algebra of a fixed subgroup K⊂G with respect to an involution σ : G → G on the Lie group G, and with a...