2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/186054Examples of the construction of Hamiltonian structures for dynamical systems in field theory (including one reputedly non-Hamiltonian problem) without using Lagrangians, are presented. The recently developed method used requires the knowledge of one constant of the motion of the system under consideration and one solution of the symmetry equation.13 pages, RevtexExactly Solvable and Integrable SystemsHigh Energy Physics - TheoryNon-standard Construction of Hamiltonian Structurestext