199034, 7-9, Universitetskaya nab.
Saint-Petersburg State University
Vershilov A. V.
On the bi-Hamiltonian structure of Bogoyavlensky system on $so(4)$
2010, vol. 15, no. 6, pp. 670-676
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.