A quantitative dynamical systems approach to differential learning: Self-organization principle and order parameter equations

Biological Cybernetics

Volumn 98, Issue 1, 2008, Pages 19-31

  Frank, T D ^a,b   Michelbrink, M ^c   Beckmann, H ^a   Schollhorn W I ^c  

^a UNIVERSITY OF MÜNSTER   (Germany)

^b UNIVERSITY OF CONNECTICUT   (United States)

^c JOHANNES GUTENBERG UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); HYSTERESIS; LEARNING SYSTEMS; PARAMETER ESTIMATION; PHASE NOISE; POLYNOMIALS;

DIFFERENTIAL LEARNING; HYSTERESIS EFFECT; PARAMETER EQUATIONS;

DYNAMICAL SYSTEMS;

ANIMAL; EVALUATION; HUMAN; LEARNING; MOTOR PERFORMANCE; PHYSIOLOGY; PSYCHOLOGICAL MODEL; REVIEW; STATISTICAL MODEL;

ANIMALS; EVALUATION STUDIES AS TOPIC; HUMANS; LEARNING; MODELS, PSYCHOLOGICAL; MODELS, STATISTICAL; MOTOR SKILLS;

EID: 37849034176     PISSN: 03401200     EISSN: 14320770     Source Type: Journal    
DOI: 10.1007/s00422-007-0193-x     Document Type: Article

References (48)

1. Adams JA (1971) A closed-loop theory of motor learning. J Motor Behav 3: 111-149
2. Amazeen PG, Amazeen E, Turvey MT (1998) Dynamics of human intersegmental coordination: theory and research. In: Rosenbaum DA, Collyer CE(eds) Timing of behavior. MIT, Cambridge, pp 237-259
3. Beckmann H (2003) MA Thesis: Vergleich von Techniktrainingsansätzen im Kugelstoßen (in German). University of Münster, Münster
4. Beckmann H, Schöllhorn W (2003) Differential learning in shot put. In: Schöllhorn WI, Bohn C, Jäger JM, Schaper H, Alichmann M(eds) European workshop on movement sciences. Sport & Buch Strauß, Cologne, pp 68-68
5. Beek PJ, Peper CE, Stegeman DF (1995) Dynamical models of movement coordination. Hum Movement Sci 14: 573-608
6. Beek PJ, Turvey MT (1992) Temporal patterning in cascade juggling. J Exp Psychol - Hum Percept Perform 18: 934-947
7. Bernstein NA (1967) The coordination and regulation of movements. Pergamon, Oxford
8. Daffertshofer A, van den Berg C, Beek PJ (1999) A dynamical model for mirror movements. Physica D 132: 243-266
9. Frank TD (2005a) Nonlinear Fokker-Planck equations: fundamentals and applications. Springer, Berlin
10. Frank TD (2005b) On the M. Phys Rev E 72: 041703
11. Haken H (1975) Cooperative phenomena in systems far from thermal equilibrium and in nonphysical systems. Rev Mod Phys 47: 67-121
12. Haken H (1996) Principles of brain functioning. Springer, Berlin
13. Haken H (2004) Synergetics: introduction and advanced topics. Springer, Berlin
14. Henry RM, Rogers DE (1960) Increased response latency for complicated movements and a "memory drum" theory of neuromotor reactions. Res Quat 31: 448-457
15. Horsthemke W, Lefever R (1984) Noise-induced transitions. Springer, Berlin
16. Humpert V (2004) MA thesis: Vergleichende Analyse von Techniktrainingansätzen zum Tennisaufschlag (in German). University of Münster, Münster
17. Humpert V, Schöllhorn WI (2006) Vergleich von T. In: Ferrouti A, Remmert H(eds) Trainingswissenschaften im F. Czwalina, Hamburg, pp 121-124
18. Huys R, Daffertshofer A, Beek PJ (2004) Multiple time scales and subsystem embedding in the learning of juggling. Hum Mov Sci 23: 315-336
19. Jirsa VK, Kelso JAS (2004) Coordination dynamics: issues and trends. Springer, Berlin
20. Kay BA (1988) The dimensionality of movement trajectories and the degrees of freedom problem. Hum Mov Sci 7: 343-364
21. Keele SW (1968) Movement control in skilled performance. Psychol Bull 70: 387-403
22. Kelso JAS (1995) Dynamic patterns-the self-organization of brain and behavior. MIT, Cambridge
23. Neda Z, Ravasz E, Vicsek T, Brechet Y, Barabasi AL (2000) Physics of the rhythmic applause. Phys Rev E 61: 6987-6992
24. Patanarapeelert K, Frank TD, Beek PJ, Friedrich R, Tang IM (2006) Theoretical analysis of destabilization resonances in time-delayed stochastic second order dynamical systems and some implications for human motor control. Phys Rev E 73: 021901
25. Peper CE, Beek PJ (1998) Distinguishing between the effects of frequency and amplitude on interlimb coupling in tapping a 2:3 polyrhythm. Exp Brain Res 118: 78-92
26. Peper CE, Beek PJ, van Wieringen PCW (1995) Multifrequency coordination in bimanual tapping: a symmetrical coupling and signs of supercriticality. J Exp Psychol - Hum Percept Perform 21: 1117-1138
27. Plischke M, Bergersen B (1994) Equilibrium statistical physics. World Scientific, Singapor
28. Römer J, Schöllhorn WI, Jaitner T (2003) Differentielles lernen bei der Aufschlagannahme im Volleyball. In: Krug J, Müller T (eds) Messplätze, Messtraining, Motorisches Lernen (in German). Academia Verlag, Sankt Augustin, pp 129-133
29. Schmidt RA, Lee TD (1999) Motor control and learning: a behavioral emphasis. Human Kinetics, Champaign
30. Schöllhorn WI (1999a) Individualität - ein vernachlä ssigter Parameter? (in German) Leistungssport 2:4-11
31. Schöllhorn WI (1999b) Practical consequences of biomechanically determined individuality and fluctuations on motor learning. In: Herzog W, Jinha A (eds) International Society of Biomechanics XVIIth Congress. Calgary, p 147
32. Schöllhorn WI (2000) Applications of systems dynamic principles to technique and strength training. Acta Acad Estonia 8: 25-37
33. Schöllhorn WI, Beckmann H, Michelbrink M, Trockel M, Sechelmann M, Davids K (2006) Does noise provide a basis for unifying different motor learning theories?. Int J Sport Psychol 2: 34-42
34. Schöllhorn WI, Sechelmann M, Trockel M, Westers R (2004) Nie das Richtige trainieren, um richtig zu spielen (in German). Leistungsport 5:13-17
35. Scholz JP, Kelso JAS, Schöner GS (1987) Non-equilibrium phase transitions in coordinated biological motion: critical slowing down and switching time. Phys Lett A 123: 390-394
36. Schöner GS (1989) Learning and recall in a dynamic theory of coordination patterns. Biol Cybern 62: 39-54
37. Schöner GS, Haken H, Kelso JAS (1986) A stochastic theory of phase transitions in human hand movement. Biol Cybern 53: 247-257
38. Schöner GS, Kelso JAS (1988a) A synergetic theory of environmentally-specified and learned patterns of movement coordination. I. R. Biol Cybern 58: 71-80
39. Schöner GS, Kelso JAS (1988b) A synergetic theory of environmentally-specified and learned patterns of movement coordination. II. Component oscillator dynamics. Biol Cybern 58: 81-89
40. Schöner GS, Zanone PG, Kelso JAS (1992) Learning as change in coordination dynamics. J Motor Behav 64: 455-462
41. Shea CH, Shebilske WL, Worchel S (1993) Motor learning and control. Prentice Hall, Englewood Cliffs
42. Shea CH, Wulf G (2005) Schema theory: a critical appraisal and reevaluation. J Motor Behav 37: 85-101
43. Sternad D (2000) Debates in dynamics: a dynamical systems perspective on action and perception. Hum Mov Sci 19: 407-423
44. Sternad D, Duarte M, Katsumata H, Schaal S (2001) Dynamics of a bouncing ball in human performance. Phys Rev E 63: 011902
45. Turvey MT (1990) Coordination. Am Psychol 45: 938-953
46. van Rossum JHA (1990) Schmidt's schema theory: the empirical base of the variability of practice hypothesis. Hum Mov Sci 9: 387-435
47. Wallenstein GV, Kelso JAS, Bressler SL (1995) Phase transitions in spatiotemporal patterns of brain activity and behavior. Physica D 84: 626-634
48. Welminski D (2005) MA thesis: Vergleich von Techniktrainingsansätzen im leichtathletischen Hochsprung (in German). University of Münster, Münster