A damping system for counteracting mutual pivoting movement between a forward vehicle element of an articulated vehicle and a rear vehicle element which is connected to the forward vehicle element via an articulated coupling, which damping system comprises: - one or more damping means (30a, 30b) situated close to the articulated coupling and adapted to exerting an adjustable damping force which counteracts mutual pivoting movement between the forward vehicle element and the rear vehicle element, and - an electronic control device for controlling the damping force of the respective damping means (30a, 30b) on the basis of at least the speed of the vehicle and one or more parameters related to the articulation angle (α) between the forward vehicle element and the rear vehicle element, characterised in that: - the control device is adapted to determining, on the basis of one or more parameters related to the articulation angle (α) between the forward vehicle element and the rear vehicle element, possibly in combination with one or more further parameters, whether there is a risk situation with regard to mutual outswing between the forward vehicle element and the rear vehicle element, - in a normal state, when there is no such risk situation, the control device is adapted to causing the respective damping means (30a, 30b) to exert a damping force which is pulsated, in order thereby to facilitate mutual straightening up between the forward vehicle element and the rear vehicle element after outswing of either of these vehicle elements relative to the other, and - the control device, when it finds that there is such a risk situation, is adapted to causing the respective damping means (30a, 30b) to exert a damping force which is non-pulsated and stronger than the damping force in the normal state, in order thereby temporarily to prevent the articulation angle (α) between the forward vehicle element and the rear vehicle element from increasing, and thereafter to cause the respective damping means (30a, 30b) to revert to the normal state with pulsated damping force of reduced strength. - one or more damping means (30a, 30b) situated close to the articulated coupling and adapted to exerting an adjustable damping force which counteracts mutual pivoting movement between the forward vehicle element and the rear vehicle element, and - an electronic control device for controlling the damping force of the respective damping means (30a, 30b) on the basis of at least the speed of the vehicle and one or more parameters related to the articulation angle (α) between the forward vehicle element and the rear vehicle element, - the control device is adapted to determining, on the basis of one or more parameters related to the articulation angle (α) between the forward vehicle element and the rear vehicle element, possibly in combination with one or more further parameters, whether there is a risk situation with regard to mutual outswing between the forward vehicle element and the rear vehicle element, - in a normal state, when there is no such risk situation, the control device is adapted to causing the respective damping means (30a, 30b) to exert a damping force which is pulsated, in order thereby to facilitate mutual straightening up between the forward vehicle element and the rear vehicle element after outswing of either of these vehicle elements relative to the other, and - the control device, when it finds that there is such a risk situation, is adapted to causing the respective damping means (30a, 30b) to exert a damping force which is non-pulsated and stronger than the damping force in the normal state, in order thereby temporarily to prevent the articulation angle (α) between the forward vehicle element and the rear vehicle element from increasing, and thereafter to cause the respective damping means (30a, 30b) to revert to the normal state with pulsated damping force of reduced strength.