Modeling cognitive control in simple movements

Using a macroscopic approach we discuss appropriate minimal models to describe a performance of bimanual rhythmic movements. As a paradigm of such movements, a 3:4 polyrhythm is considered. An analysis of experimental data on the basis of symbolic transformation shows tempo-induced qualitative transitions. In attempting to get insights into the control mechanisms of the central nervous system behind these transitions, a model of the control system has been suggested. Two versions of the model, with discrete and continuous time are considered and both of them are in good correspondence with experimental data. Important ingredients of the model are time delay, nonlinear error correction and noise.