A. Gomberoff et Sa. Hojman, NONSTANDARD CONSTRUCTION OF HAMILTONIAN STRUCTURES, Journal of physics. A, mathematical and general, 30(14), 1997, pp. 5077-5084
Examples of the construction of Hamiltonian structures for dynamical s
ystems in field theory (including one reputedly non-Hamiltonian proble
m) without using Lagrangians, are presented. The recently developed me
thod used requires the knowledge of one constant of motion of the syst
em under consideration and one solution of the symmetry equation.