Transition between position-matching control and rhythm-matching control in hand tracking task is explained by a phase model for hand motion

We recently reported a transitional behavior between position-matching control and rhythm-matching control in human hand tracking task. In this paper we present a phase model which successfully explains the transitional behavior. The present model is derived from a delayed feed-forward model which we recently proposed to understand proactive human percepto-motor control. The present model not only reproduced the systematic phase-lead of the hand-motion with respect to the target-motion in a finite frequency range but also the transition in the tracking modes from position-matching to rhythm-matching at a critical frequency of the target-motion experimentally observed in human hand tracking tasks.