Bi-Hamiltonian aspects of the separability of the Neumann system
نویسنده
چکیده
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.
منابع مشابه
v 1 1 0 N ov 1 99 8 ON A CLASS OF DYNAMICAL SYSTEMS BOTH QUASI - BI - HAMILTONIAN AND BI - HAMILTONIAN
It is shown that a class of dynamical systems (encompassing the one recently considered by F. Calogero in [1]) is both quasi-bi-Hamiltonian and bi-Hamiltonian. The first formulation entails the separability of these systems; the second one is obtained trough a non canonical map whose form is directly suggested by the associated Nijenhuis tensor.
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تاریخ انتشار 2002