The averaging of multi-dimensional Poisson brackets for systems having pseudo-phases

A. Ya. Maltsev

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arXiv · 1402.3686

The averaging of multi-dimensional Poisson brackets for systems having pseudo-phases

A. Ya. Maltsev

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Abstract

We consider features of the Hamiltonian formulation of the Whitham method in the presence of pseudo-phases. As we show, an analog of the procedure of averaging of the Poisson bracket with the reduced number of the first integrals can be suggested in this case. The averaged bracket gives a Poisson structure for the corresponding Whitham system having the form similar to the structures arising in the presence of ordinary phases.

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A. Ya. Maltsev. 2014-02-15. The averaging of multi-dimensional Poisson brackets for systems having pseudo-phases. https://arxiv.org/abs/1402.3686

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