Bi-Hamiltonian aspects of the separability of the Neumann system
classification
🌊 nlin.SI
math-phmath.MP
keywords
bi-hamiltonianneumannseparationsystemaspectsconveycoordinatesdimensional
read the original 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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