Method for disconnecting an electrical machine on a running gear of a vehicle, in particular a hybrid motor vehicle

A system for coupling an electrical machine with wheels of an axle of a vehicle when the vehicle is running, the drive axle being without a transmission clutch, comprising:

• an upstream dog clutch coupler rotating together with the electrical machine, a downstream dog clutch coupler rotating together with the wheels, and an actuator arranged for bringing the two dog clutch couplers together in translation along a common rotation axis;
• and
• an electronic device arranged for receiving a decoupling request and for torque control of the electrical machine by applying to the electrical device a torque equal to a calibrated threshold value of a target torque which facilitates achieving obtaining a zero torque as between the dog clutch couplers then following a slope starting with said calibrated threshold value of the target torque and ending with a zero torque value.