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arxiv: math-ph/0508058 · v1 · pith:U3DOL2WZnew · submitted 2005-08-29 · 🧮 math-ph · math.MP

Momentum Map and Action-Angle Variables for Nambu Dynamics

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keywords action-anglemomentumvariablesnambusystembehaviorconsidereddimension
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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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