2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62380We study absolutely periodic points and trajectories of Hamiltonian systems. Our main result is a necessary and sufficient for a Hamiltonian system to have the following property: if there exists one absolutely periodic trajectory then all trajectories are periodic with the same period.Spectral TheorySymplectic Geometrytext