A stochastic theory of phase transitions in human hand movement
The order parameter equation for the relative phase of correlated hand movements, derived in a previous paper by \textit{H. Bunz} and the last two authors, A theoretical model of phase transitions in human hand movements. ibid. 51, 347-356 (1985)], is extended to a time-dependent stochastic differential equation. Its solutions are determined close to stationary points and for the transition region. Remarkably good agreement between this theory and recent experiments done by the last author and \textit{J. Scholz} [Cooperative phenomena in biological motion. In: H. Haken (ed.): Complex systems-operational approaches in neurobiology, physical systems and computers. Springer, 124-149 (1985)] is found, and new predictions are offered.
scientific article; zbMATH DE number 3943626