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Momentum Map and Action-Angle Variables for Nambu Dynamics

A. Tegmen
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Abstract

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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A. Tegmen. 2005-08-29. Momentum Map and Action-Angle Variables for Nambu Dynamics. https://doi.org/10.1023/b%3Acjop.0000038528.44335.8b

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