Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
A family of integrable systems on the sphere with a cubic additional integral of motion. / Tsyganov, A. V.
в: Doklady Akademii Nauk, Том 402, № 4, 27.10.2005, стр. 457-459.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - A family of integrable systems on the sphere with a cubic additional integral of motion
AU - Tsyganov, A. V.
PY - 2005/10/27
Y1 - 2005/10/27
N2 - Analyzed is a family of integrable systems on a phase space TstarS2, for which additional integral is a cubic polynomial in respect to Jk variables. The most wide known system of such type is Goryachev-Cheplygin top. The relation between specified integrable systems is given and their reducibility to Goryachev-Cheplygin top is shown.
AB - Analyzed is a family of integrable systems on a phase space TstarS2, for which additional integral is a cubic polynomial in respect to Jk variables. The most wide known system of such type is Goryachev-Cheplygin top. The relation between specified integrable systems is given and their reducibility to Goryachev-Cheplygin top is shown.
UR - http://www.scopus.com/inward/record.url?scp=26944432708&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:26944432708
VL - 402
SP - 457
EP - 459
JO - ДОКЛАДЫ АКАДЕМИИ НАУК
JF - ДОКЛАДЫ АКАДЕМИИ НАУК
SN - 0869-5652
IS - 4
ER -
ID: 35926659