Abstract: A system and process for controlling the flow of packets carried by asynchronous time multiplex (EPACi) channels. The packets from one communication link are identified by their label and the identity of the multiplex channels which carries them. The process is comprised of allocating for each communication a predetermined clock rate and a predetermined threshold value, measuring the difference between the number of packets entering belonging to the communication and the number of pulses generated by the clock, lower bounding this difference, and, if the difference reaches a predetermined threshold, triggering a signal (DEP) which causes the detection of packets belonging to the communication in question as long as the difference is not less than the predetermined threshold.