TY - JOUR
AU - A. K. Prykarpatsky
AU - V. G. Samoilenko
AU - U. Taneri
PY - 2003/02/25
Y2 - 2024/06/19
TI - The Reduction Method in the Theory of Lie-Algebraically Integrable Oscillatory Hamiltonian Systems
JF - Ukrains’kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 55
IS - 2
SE - Research articles
DO -
UR - https://umj.imath.kiev.ua/index.php/umj/article/view/3901
AB - 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 \(G = K \oplus P{\text{, where }}K\) is the Lie algebra of a fixed subgroup \(K \subset {\text{G}}\) with respect to an involution σ : G → G on the Lie group G, and with a Poisson action of special type on a symplectic matrix manifold.
ER -