Signals delta.sub.-- w representing the RPM difference of at least two wheels of at least one axle and signals V representing the vehicle speed are linked through a nonlinear characteristic diagram. Obtained thereby are signals which represent the transverse movements, specifically the transverse acceleration, of the vehicle. This makes it possible to allow for nonlinear effects such as the expansive deflection of the curve inside tires and the compressive deflection of the curve outside tires due to the roll moment backing, particularly through empirically determined parameters. The signal of the stationary transverse acceleration is dynamized by further processing, in a second order filter, of the signal of the stationary transverse acceleration (steering angle is constant) so obtained.