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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 изданияхстатьяРецензирование

Harvard

Tsyganov, AV 2005, 'A family of integrable systems on the sphere with a cubic additional integral of motion', Doklady Akademii Nauk, Том. 402, № 4, стр. 457-459.

APA

Vancouver

Author

Tsyganov, A. V. / A family of integrable systems on the sphere with a cubic additional integral of motion. в: Doklady Akademii Nauk. 2005 ; Том 402, № 4. стр. 457-459.

BibTeX

@article{deadabb5b98d446ab3542b4d08e1567f,
title = "A family of integrable systems on the sphere with a cubic additional integral of motion",
abstract = "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.",
author = "Tsyganov, {A. V.}",
year = "2005",
month = oct,
day = "27",
language = "English",
volume = "402",
pages = "457--459",
journal = "ДОКЛАДЫ АКАДЕМИИ НАУК",
issn = "0869-5652",
publisher = "Издательство {"}Наука{"}",
number = "4",

}

RIS

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