Geodesic
Bi-Hamiltonian Aspects of the Separability of the Neumann System
Teoretičeskaâ i matematičeskaâ fizika, Tome 133 (2002) no. 3, pp. 475-484

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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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     author = {M. Pedroni},
     title = {Bi-Hamiltonian {Aspects} of the {Separability} of the {Neumann} {System}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     number = {3},
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     url = {http://geodesic.mathdoc.fr/item/TMF_2002_133_3_a11/}
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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/