A timepiece regulating mechanism including primary resonators each with an inertial weight suspended by flexible strips to a fixed structure with respect to which this weight pivots, and mechanical device of synchronizing the primary resonators which include, between the inertial weights, an articulated connection which, under normal conditions, allows pivoting of the inertial weights in opposite directions of rotation and with close rotation angles, and during a shock, prevents pivoting thereof in the same direction of rotation, the mechanism including an oscillator with a frictional rest escapement mechanism arranged to cooperate alternately with the primary resonators, on pallet stones of the inertial weights.