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arXiv · 1009.0351

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

A. V. Vershilov
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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.

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A. V. Vershilov. 2010-09-02. On the bi-Hamiltonian structure of Bogoyavlensky system on $so(4)$. https://doi.org/10.1134/s1560354710060031

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