Phase Flows and Vector Hamiltonians
  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. 
V.N.Dumachev
math.DG math-ph math.MP