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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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