Momentum Map and Action-Angle Variables for Nambu Dynamics
arXiv:math-ph/0508058 · doi:10.1023/B:CJOP.0000038528.44335.8b
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.
LaTEX, 8 pages