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Bi-Hamiltonian aspects of the separability of the Neumann system

Marco Pedroni
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Abstract

The Neumann system on the 2-dimensional sphere is used as a tool to convey some ideas on the bi-Hamiltonian point of view on separation of variables. It is shown that, from this standpoint, its separation coordinates and its integrals of motion can be found in a systematic way.

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Marco Pedroni. 2002-06-24. Bi-Hamiltonian aspects of the separability of the Neumann system. https://arxiv.org/abs/nlin/0202023

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