On the bi-Hamiltonian structure of Bogoyavlensky system on $so(4)$

2010, Volume 15, Number 6, pp. 670-676

Author(s): 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, Volume 15, Number 6, pp. 670-676

DOI: 10.1134/S1560354710060031

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