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JOURNALS // Regular and Chaotic Dynamics // Archive
Regul. Chaotic Dyn., 2008 Volume 13, Issue 1, Pages 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

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

Keywords: integrable and bi-hamiltonian system, the Goryachev–Chaplygin top.

MSC: 37K10, 70E17, 70E40

Received: 04.09.2007
Accepted: 11.10.2007

Language: English

DOI: 10.1134/S156035470801005X



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