Phase Flows and Vector Hamiltonians

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.

arXiv comment10 pages

Cited by in corpus (1)

• On the quest for generalized Hamiltonian descriptions of $3D$-flows generated by curl of a vector potential