Momentum Map and Action-Angle Variables for Nambu Dynamics

Details Momentum Map and Action-Angle Variables for Nambu Dynamics Momentum Map and Action-Angle Variables for Nambu Dynamics

2005-08-29

arxiv.org/abs/math-ph/0508058v1

Czech. J. Phys., 54(7), 749-757, 2004

Physics

Mathematical Physics

LaTEX, 8 pages

Scientific paper

Momentum map is a reduction procedure that reduces the dimension of a
Hamiltonian system to the lower ones. It is shown that behavior of the
action-angle variables under the momentum map generates the new action-angle
variables for the reduced system considered as a Nambu structure. The
symmetrical top is given as an illustration.

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