A flyback converter includes input terminals and output terminals. A transformer with a first winding and a second winding are inductively coupled. A first switching element is connected in series with the first winding and a first series circuit with the first switching element, the first winding being coupled between the input terminals. A rectifier arrangement is connected in series with the second winding and a second series circuit with the rectifier arrangement, the second winding being coupled between the output terminals. The rectifier arrangement includes a second switching element. A control circuit is configured in one drive cycle to switch on the first switching element for a first time period. After the first time period the second switching element is switched on for a second time period. A third time period is determined between an end of the second time period and the time at which the transformer assumes a predetermined transformer state. The control circuit is further configured to adapt the second time period to be applied in a subsequent drive cycle dependent on the second time period applied in the one drive cycle and the third time period is determined in the one drive cycle.