Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
The maupertuis principle and canonical transformations of the extended phase space. / Tsiganov, A. V.
в: Journal of Nonlinear Mathematical Physics, Том 8, № 1, 2001, стр. 157-182.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
}
TY - JOUR
T1 - The maupertuis principle and canonical transformations of the extended phase space
AU - Tsiganov, A. V.
PY - 2001
Y1 - 2001
N2 - We discuss some special classes of canonical transformations of the extended phase space, which relate integrable systems with a common Lagrangian submanifold. Various parametric forms of trajectories are associated with different integrals of motion, Lax equations, separated variables and action-angles variables. In this review we will discuss namely these induced transformations instead of the various parametric form of the geometric objects.
AB - We discuss some special classes of canonical transformations of the extended phase space, which relate integrable systems with a common Lagrangian submanifold. Various parametric forms of trajectories are associated with different integrals of motion, Lax equations, separated variables and action-angles variables. In this review we will discuss namely these induced transformations instead of the various parametric form of the geometric objects.
UR - http://www.scopus.com/inward/record.url?scp=0035585784&partnerID=8YFLogxK
U2 - 10.2991/jnmp.2001.8.1.12
DO - 10.2991/jnmp.2001.8.1.12
M3 - Article
AN - SCOPUS:0035585784
VL - 8
SP - 157
EP - 182
JO - Journal of Nonlinear Mathematical Physics
JF - Journal of Nonlinear Mathematical Physics
SN - 1402-9251
IS - 1
ER -
ID: 8483779