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On a family of integrable systems on S2with a cubic integral of motion. / Tsiganov, A. V.
в: Journal of Physics A: Mathematical and General, Том 38, № 4, 28.01.2005, стр. 921-927.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - On a family of integrable systems on S2with a cubic integral of motion
AU - Tsiganov, A. V.
PY - 2005/1/28
Y1 - 2005/1/28
N2 - We discuss a family of integrable systems on the sphere S2 with an additional third-order integral in momenta. This family contains the Coryachev-Chaplygin top, the Goryachev system, the system recently discovered by Dullin and Matveev, and two new integrable systems. On the non-physical sphere with zero radius all these systems are isomorphic to each other.
AB - We discuss a family of integrable systems on the sphere S2 with an additional third-order integral in momenta. This family contains the Coryachev-Chaplygin top, the Goryachev system, the system recently discovered by Dullin and Matveev, and two new integrable systems. On the non-physical sphere with zero radius all these systems are isomorphic to each other.
UR - http://www.scopus.com/inward/record.url?scp=12944252212&partnerID=8YFLogxK
U2 - 10.1088/0305-4470/38/4/011
DO - 10.1088/0305-4470/38/4/011
M3 - Article
AN - SCOPUS:12944252212
VL - 38
SP - 921
EP - 927
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
SN - 1751-8113
IS - 4
ER -
ID: 35926803