A method for the reduction of combustion-driven oscillations in combustion systems, in particular in combustion chambers of turbomachines, equipped with at least one burner, into which at least one combustion air stream is introduced tangentially into a burner interior and, at the same time with the formation of a swirl flow oriented coaxially to the burner axis, is intermixed intensively with an injected gaseous and/or liquid fuel, and this swirl flow induces, at a cross-sectional jump at the burner outlet, a backflow zone which stabilizes the flame front acting there, characterized in that a disturbance body (3) is arranged in the axis of rotation of the swirl flow (6) for the fluidic stabilization of the backflow zone, and an additional fuel discharge into the swirl flow (6) takes place from this central disturbance body (3).