A stochastic theory of phase transitions in human hand movement
type: Item
instance of: scholarly article
title: A stochastic theory of phase transitions in human hand movement
zbMATH Open document ID: 0587.92030
DOI: 10.1007/BF00336995
published in: Biological Cybernetics
publication date: 1986-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 92F05
Mathematics Subject Classification ID: 92Cxx
zbMATH DE Number: 3943626
zbMATH Keywords: phase transitions
zbMATH Keywords: Langevin equation
zbMATH Keywords: Fokker-Planck equation
zbMATH Keywords: order parameter equation
zbMATH Keywords: hand movements
zbMATH Keywords: stationary points
zbMATH Keywords: transition region
Wikidata QID: Q52429699
author: Gregor Schöner
author: H. Haken
author: J. A. Scott Kelso
MaRDI profile type: Publication
cites work: Handbook of stochastic methods for physics, chemistry and the natural sciences
cites work: Synergetics. An introduction. Nonequilibrium phase transitions and self-organization in physics, chemistry, and biology. 3rd rev. and enl. ed
cites work: A theoretical model of phase transitions in human hand movements
full work available at URL: https://doi.org/10.1007/bf00336995
OpenAlex ID: W1990367521
description: scientific article; zbMATH DE number 3943626