Braking system incorporating at least one sliding brake disc and brake disc for such a braking system

A braking system incorporating at least one brake disc capable of being braked by means of friction components, said disc being mounted to slide axially on and rotate with a rotating component, characterized in that the disc includes a device for returning and for memorizing a position and which enables the disc to be always at a predetermined distance relative to one of the friction components when the brake is not applied, irrespective of the wear of said one friction component, the device for returning and for memorizing including a friction ring cooperating with said rotating component and an elastic component which pushes apart said friction ring and a portion fixed firmly to said disc, the elastic component comprising spring means that allows, between said portion and said friction ring, a limited relative axial movement for the predetermined distance beyond which the portion axially displaces said ring, the friction ring comprising a cage retaining axially an annular spring mounted in frictional engagement in splines of said rotating component, and said portion comprising a sleeve fixed firmly to said disc and having a radially folded portion to retain between the radially folded portion and cage the spring means which comprises an undulating washer.