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Regular and Chaotic Dynamics, 2010, Volume 15, Issue 6, Pages 670–676
DOI: https://doi.org/10.1134/S1560354710060031 (Mi rcd526) 		 
On the bi-Hamiltonian structure of Bogoyavlensky system on $so(4)$

A. V. Vershilov

St. Petersburg State University, St. Petersburg, Russia
DOI: https://doi.org/10.1134/S1560354710060031
Abstract: We discuss bi-Hamiltonian structure for the Bogoyavlensky system on $so(4)$ with an additional integral of fourth order in momenta. An explicit procedure to find the variables of separation and the separation relations is considered in detail.
Keywords: integrable systems, separation of variables, bi-Hamiltonian geometry, Lie algebras.
Received: 09.06.2010
Accepted: 31.08.2010
Bibliographic databases:
Document Type: Article
MSC: 70H20, 70H06, 37K10
Language: English
Citation: A. V. Vershilov, “On the bi-Hamiltonian structure of Bogoyavlensky system on $so(4)$”, Regul. Chaotic Dyn., 15:6 (2010), 670–676
Citation in format AMSBIB
\Bibitem{Ver10}
\by A. V. Vershilov
\paper On the bi-Hamiltonian structure of Bogoyavlensky system on $so(4)$
\jour Regul. Chaotic Dyn.
\yr 2010
\vol 15
\issue 6
\pages 670--676
\mathnet{http://mi.mathnet.ru/rcd526}
\crossref{https://doi.org/10.1134/S1560354710060031}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2747177}
\zmath{https://zbmath.org/?q=an:1258.70029}
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