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We present experimental data of the motion of a rimmed checker's piece on apolished horizontal tray, in two specific conditions: with the substrateharmonically shaken at 20 Hz, and with a static substrate. The latterexperiment immediately yields the dynamic friction coefficient. The harmonicexperimental results are very sensitive on the static friction coefficient,which is not even a percent higher than the dynamic one. Due to the lowharmonic acceleration of the driver, the static friction has enormous influenceon the slider's motion. We modeled the slider's motion using a discreteMarkovian progression model, which at every discrete time-step chooses betweena sticking attempt and a return to the non-sticking trajectory. The presentmodel does not take into account the driver's acceleration. In the finalsection, we explain the physical origin of walk-off, in case of periodic butasymmetric driving.

Slider on a Driven Substrate: Markovian Competition Between Two Limiting Attractors