On the bi-Hamiltonian structure of Bogoyavlensky system on so(4)
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🌊 nlin.SI
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bi-hamiltonianbogoyavlenskyseparationstructuresystemadditionalconsidereddetail
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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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