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arXiv · 1105.3315

Phase Flows and Vector Hamiltonians

V. N. Dumachev
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Abstract

We present a generalization of the Nambu mechanics on the base of Liouville's theorem. We prove that the Poisson structure of an n-dimensional multisymplectic phase space is induced by (n-1)-Hamiltonian k-vector field seach of which requires introduction of k-Hamiltonians.

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V. N. Dumachev. 2011-05-17. Phase Flows and Vector Hamiltonians. https://arxiv.org/abs/1105.3315

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