A stochastic theory of phase transitions in human hand movement

DOI10.1007/BF00336995zbMath0587.92030OpenAlexW1990367521WikidataQ52429699 ScholiaQ52429699MaRDI QIDQ1072967

Gregor Schöner, Hermann Haken, J. A. Scott Kelso

Publication date: 1986

Published in: Biological Cybernetics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00336995

zbMATH Keywords

Fokker-Planck equationphase transitionsLangevin equationtransition regionstationary pointshand movementsorder parameter equation

Mathematics Subject Classification ID

Other natural sciences (mathematical treatment) (92F05) Physiological, cellular and medical topics (92Cxx)

Related Items (27)

Pattern switching in human multilimb coordination dynamics ⋮ Deterministic and stochastic features of rhythmic human movement ⋮ Catastrophe theory enables moves to be detected towards and away from self-organization: the example of epileptic seizure onset ⋮ Phase transitions in spatiotemporal patterns of brain activity and behavior ⋮ Beyond in-phase and anti-phase coordination in a model of joint action ⋮ Symmetry and order parameter dynamics of the human odometer ⋮ The coordination dynamics of mobile conjugate reinforcement ⋮ Coordination dynamics of trajectory formation ⋮ Numerical approximations of stochastic differential equations with non-globally Lipschitz continuous coefficients ⋮ Distinguishing the noise and attractor strength of coordinated limb movements using recurrence analysis ⋮ Portfolio theory of optimal isometric force production: variability predictions and nonequilibrium fluctuation-dissipation theorem ⋮ Strongly nonlinear stochastic processes in physics and the life sciences ⋮ Symmetry axiom of Haken-Kelso-Bunz coordination dynamics revisited in the context of cognitive activity ⋮ A survey of numerical methods for stochastic differential equations ⋮ Power-law scaling for macroscopic entropy and microscopic complexity: Evidence from human movement and posture ⋮ Impacts of noise on a field theoretical model of the human brain. ⋮ A quantitative dynamical systems approach to differential learning: self-organization principle and order parameter equations ⋮ The Haken-Kelso-Bunz (HKB) model: from matter to movement to mind ⋮ Two dimensionless parameters and a mechanical analogue for the HKB model of motor coordination ⋮ On the strong regularity of degenerate additive noise driven stochastic differential equations with respect to their initial values ⋮ Neurologically Motivated Coupling Functions in Models of Motor Coordination ⋮ Multifrequency behavioral patterns and the phase attractive circle map ⋮ Dynamic theory of action-perception patterns: the ``moving room paradigm ⋮ Information compression in biological systems ⋮ Towards a comprehensive theory of brain activity: Coupled oscillator systems under external forces ⋮ Long-range memory and non-Markov statistical effects in human sensorimotor coordination ⋮ Dynamics of multifrequency coordination using parametric driving: theory and experiment

Cites Work

• Synergetics. An introduction. Nonequilibrium phase transitions and self-organization in physics, chemistry, and biology. 3rd rev. and enl. ed
• A theoretical model of phase transitions in human hand movements
• Handbook of stochastic methods for physics, chemistry and the natural sciences

This page was built for publication: A stochastic theory of phase transitions in human hand movement