Phase equation model for the transition between position matching to rhythm matching in hand tracking task

We report the results of analysis of a phase model for explaining the transition observed at 0.6 Hz between the position matching and rhythm matching modes in human hand-tracking. The present model is derived from a delayed feedforward 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.