Phase Flows and Vector Hamiltonians

Published 17 May 2011 in math.DG, math-ph, and math.MP | (1105.3315v1)

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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Authors (1)

V. N. Dumachev

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