Patrick Bernard The asymptotic Behaviour of solutions of forced Burgers equations on the circle (326K, ps) ABSTRACT. We describe the asymptotic behaviour of entropy solutions of unviscid Burgers equation on the circle with time-periodic forcing. These solutions converge to periodic states, but the period of these limit states may be greater than the period of the forcing. We obtain as a corollary a new result on the flow of the associated Hamiltonian.