RUS  ENG
Ïîëíàÿ âåðñèÿ
ÆÓÐÍÀËÛ // Regular and Chaotic Dynamics // Àðõèâ

Regul. Chaotic Dyn., 2008, òîì 13, âûïóñê 1, ñòðàíèöû 38–45 (Mi rcd558)

On the Bi-Hamiltonian Structures for the Goryachev–Chaplygin Top

A. L. Kostko, A. V. Tsiganov

V. A. Fok Institute of Physics, St Petersburg State University, Petrodvorets, ul. Ulyanovskaya 1, St. Petersburg 198504, Russia

Àííîòàöèÿ: The bi-hamiltonian structures for the Goryachev–Chaplygin top are constructed by using the Chaplygin variables and the Sklyanin bracket.

Êëþ÷åâûå ñëîâà: integrable and bi-hamiltonian system, the Goryachev–Chaplygin top.

MSC: 37K10, 70E17, 70E40

Ïîñòóïèëà â ðåäàêöèþ: 04.09.2007
Ïðèíÿòà â ïå÷àòü: 11.10.2007

ßçûê ïóáëèêàöèè: àíãëèéñêèé

DOI: 10.1134/S156035470801005X



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