Abstract: A method and device for synchronizing the motion between a chassis (master) motor and one or more enclosure feeder (slave) motors in an envelope inserting machine. The motion profile of one motor can be varied with time independently of the others. The displacement mapping method uses encoders, such as optical encoders, to obtain the displacement of each of the associated motors as a function of time. From the actual displacement of the master motor, an electronic computation device or process is used to calculate the theoretical displacement of each slave motor according the motion profile of the slave motor. The theoretical displacement is then compared to the actual displacement. If there is a discrepancy between the theoretical and the actual amount, then the motion of the slave motor will be adjusted so as to eliminate that displacement discrepancy.