2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/66923The goal of this paper is to give a simple proof of the convergence to time-periodic states of the solutions of time-periodic Hamilton-Jacobi equations on the circle with convex Hamiltonian. Note that the period of the limiting solutions may be greater than the period of the Hamiltonian.Analysis of PDEsDynamical SystemsOptimization and Control35F25text