This article is cited in 8 papers

Bi-Hamiltonian Aspects of the Separability of the Neumann System

M. Pedroni

University of Genova, Department of Mathematics

Abstract: 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.

DOI: 10.4213/tmf412

 English version: Theoretical and Mathematical Physics, 2002, 133:3, 1722–1729

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