The HKB model revisited: How varying the degree of symmetry controls dynamics

Human Movement Science

Volumn 19, Issue 4, 2000, Pages 425-449

  Fuchs, Armin ^a   Jirsa, Viktor K ^a  

^a FLORIDA ATLANTIC UNIVERSITY   (United States)

Author keywords

2240; 2260; Bimanual; Coordination; Dynamics; Motor; Oscillator; Symmetry

Indexed keywords

EID: 0001144064     PISSN: 01679457     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-9457(00)00025-7     Document Type: Article

References (18)

1. Borland L., Haken H. Unbiased determination of forces causing observed processes. The case of additive and weak multiplicative noise. Zeitschrift für Physik B. 81:1992a;95-103.
2. Borland L., Haken H. Unbiased estimate of forces from measured correlation functions, including the case of strong multiplicative noise. Annales de Physique. 1:1992b;452-459.
3. Carson R.G., Rick S., Smethurst C.J., Lison J.F., Byblow W.D. Neuromuscular-skeletal constraints upon the dynamics of unimanual and bimanual coordination. Experimental Brain Research. 131:2000;196-214.
4. Friedrich R., Peinke J. Statistical properties of a turbulent cascade. Physica D. 102:1997;147-155.
5. Gardiner C.W. Handbook of stochastic methods for physics, chemistry, and the natural sciences. 2nd ed. 1983;Springer, Berlin.
6. Haken H. Synergetics: An introduction. 3rd ed. 1977;Springer, Berlin.
7. Haken H. Information and selforganization. A macroscopic approach to complex systems. 1988;Springer, Berlin.
8. Haken H., Kelso J.A.S., Bunz H. A theoretical model of phase transitions in human movements. Biological Cybernetics. 51:1985;347-356.
9. Jirsa V.K., Kelso J.A.S., Fuchs A. Connecting coordination and behavioral dynamics: bimanual coordination. Neural Computation. 10:1998;2019-2045.
10. Jirsa, V. K., Kelso, J. A. S., & Fuchs, A. (1999). Traversing scales of brain and behavioral organization III: Theoretical modeling. In C. Uhl (Ed.), Analysis of neurophysiological brain functioning (pp. 107-125). Berlin: Springer.
11. Kay B.A., Kelso J.A.S., Saltzman E.L., Schöner G. Space-time behavior of single and bimanual rhythmical movements: Data and limit cycle model. Journal of Experimental Psychology: Human Performance and Perception. 13:1987;178-192.
12. Kelso J.A.S. Phase transitions and critical behavior in human bimanual coordination. American Journal of Physiology. 15:1984;1000-1004.
13. Kelso, J. A. S., DelColle, J. D., & Schöner, G. (1990). Action-perception as a pattern forming process. In M. Jeannerod (Ed.), Attention and Performance XIII (pp. 139-169). Hillsdale, NJ: Erlbaum.
14. Kelso J.A.S., Jeka J.J. Symmetry-breaking dynamics of human limb coordination. Journal of Experimental Psychology: Human Perception and Performance. 18:1992;645-668.
15. Risken H. The Fokker-Planck equation: Methods of solutions and applications. 2nd ed. 1984;Springer, Berlin.
16. Schmidt R.C., Carello C., Turvey M.T. Phase transitions and critical fluctuations in the visual coordination of rhythmic movements between people. Journal of Experimental Psychology: Human Perception and Performance. 16:1990;247-277.
17. Schöner G., Haken H., Kelso J.A.S. A stochastic theory of phase transitions in human hand movements. Biological Cybernetics. 53:1986;247-257.
18. Siegert S., Friedrich R., Peinke J. Analysis of data of stochastic systems. Physics Letters A. 243:1998;275-280.