# A stochastic theory of phase transitions in human hand movement

@article{Schner2004AST, title={A stochastic theory of phase transitions in human hand movement}, author={G. Sch{\"o}ner and H. Haken and J. Kelso}, journal={Biological Cybernetics}, year={2004}, volume={53}, pages={247-257} }

The order parameter equation for the relative phase of correlated hand movements, derived in a previous paper by Haken et al. (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 Kelso and Scholz (1985) is found, and new predictions are offered.

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#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 19 REFERENCES

A theoretical model of phase transitions in human hand movements

- Mathematics, Medicine
- 2004

- 2,012
- Open Access

Phase transitions and critical behavior in human bimanual coordination.

- Psychology, Medicine
- 1984

- 1,385

1 On the Concept of Coordinative Structures as Dissipative Structures: I. Theoretical Lines of Convergence*

- Computer Science, Mathematics
- 1980

- 706

On the concept of coordinative structures as dissipative structures: i

- Mathematics, Psychology
- 1980

- 174

A “Dynamic Pattern” Perspective on the Control and Coordination of Movement

- Computer Science
- 1983

- 151
- Open Access