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

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...

Full description

Saved in:
Bibliographic Details
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:
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/163817
Tags: Add Tag
No Tags, Be the first to tag this record!
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.

Institution

Digital Library of Periodicals of National Academy of Sciences of Ukraine