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Regular and Chaotic Dynamics, 2008, Volume 13, Issue 1, Pages 38–45
DOI: https://doi.org/10.1134/S156035470801005X (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
DOI: https://doi.org/10.1134/S156035470801005X
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.
Received: 04.09.2007
Accepted: 11.10.2007
Bibliographic databases:
Document Type: Article
MSC: 37K10, 70E17, 70E40
Language: English
Citation: A. L. Kostko, A. V. Tsiganov, “On the Bi-Hamiltonian Structures for the Goryachev–Chaplygin Top”, Regul. Chaotic Dyn., 13:1 (2008), 38–45
Citation in format AMSBIB
\Bibitem{KosTsi08}
\by A.~L.~Kostko, A.~V.~Tsiganov
\paper On the Bi-Hamiltonian Structures for the Goryachev–Chaplygin Top
\jour Regul. Chaotic Dyn.
\yr 2008
\vol 13
\issue 1
\pages 38--45
\mathnet{http://mi.mathnet.ru/rcd558}
\crossref{https://doi.org/10.1134/S156035470801005X}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2383297}
\zmath{https://zbmath.org/?q=an:1229.37072}
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