Alexander Vershilov

199034, 7-9, Universitetskaya nab.
Saint-Petersburg State University


Vershilov A. V.
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
Citation: Vershilov A. V.,  On the bi-Hamiltonian structure of Bogoyavlensky system on $so(4)$, Regular and Chaotic Dynamics, 2010, vol. 15, no. 6, pp. 670-676

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