Geodesic
Bi-Hamiltonian Aspects of the Separability of the Neumann System
Teoretičeskaâ i matematičeskaâ fizika, Tome 133 (2002) no. 3, pp. 475-484 Cet article a éte moissonné depuis la source Math-Net.Ru

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The Neumann system on the two-dimensional sphere is used as a tool to convey some ideas on the bi-Hamiltonian standpoint on separation of variables. We show that from this standpoint, its separation coordinates and its integrals of motion can be found systematically.
Keywords: integrable systems, Neumann system, separation of variables, bi-Hamiltonian geometry. 
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M. Pedroni. Bi-Hamiltonian Aspects of the Separability of the Neumann System. Teoretičeskaâ i matematičeskaâ fizika, Tome 133 (2002) no. 3, pp. 475-484. http://geodesic.mathdoc.fr/item/TMF_2002_133_3_a11/

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