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

preprint2010arXivOpen access

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

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

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