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Isomorphism of integrable cases of the Euler equations on the bi-Hamiltonian manifolds e(3) and so(4). / Tsiganov, A. V.
в: Journal of Mathematical Sciences, Том 136, № 1, 01.07.2006, стр. 3641-3647.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Isomorphism of integrable cases of the Euler equations on the bi-Hamiltonian manifolds e(3) and so(4)
AU - Tsiganov, A. V.
PY - 2006/7/1
Y1 - 2006/7/1
N2 - We consider Poisson maps between the Clebsch model and Schottky system, two Steklov systems, Kowalevski top, and Neumann system. We prove that these noncanonical transformations of variables are twisted Poisson maps, which completely define the corresponding pairs of integrable systems. Bibliography: 14 titles.
AB - We consider Poisson maps between the Clebsch model and Schottky system, two Steklov systems, Kowalevski top, and Neumann system. We prove that these noncanonical transformations of variables are twisted Poisson maps, which completely define the corresponding pairs of integrable systems. Bibliography: 14 titles.
UR - http://www.scopus.com/inward/record.url?scp=33744821406&partnerID=8YFLogxK
U2 - 10.1007/s10958-006-0188-5
DO - 10.1007/s10958-006-0188-5
M3 - Article
VL - 136
SP - 3641
EP - 3647
JO - Journal of Mathematical Sciences
JF - Journal of Mathematical Sciences
SN - 1072-3374
IS - 1
ER -
ID: 5010873