Timepiece mechanism (1000) comprising a first component (1) and a second component (2) arranged to engage with each other in a relative movement along a trajectory at an interface zone (3), wherein a first track (100) of the first component (1) comprises magnetic and/or electrostatic activation components (110), arranged to exert a contactless force on the complementary magnetic and/or electrostatic activation components (210) that comprise a second track (200) belonging to the second component (2), wherein all along a relatively monotonic movement of the second track (200) with respect to the first course (100), the energy of interaction between the first component (1) and the second component (2) has a variable gradient, with at least one discontinuity position of the gradient which corresponds to a variation of said contactless force, said discontinuity position of the gradient corresponding, in one variant, to a sudden variation of the contactless force.