Encyclopedia of Complexity and Systems Science

Living Edition
| Editors: Robert A. Meyers

Movement Coordination

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DOI: https://doi.org/10.1007/978-3-642-27737-5_341-3
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Glossary

Control parameter

A parameter of internal or external origin that when manipulated controls the system in a nonspecific fashion and is capable of inducing changes in the system’s behavior. These changes may be a smooth function of the control parameter or abrupt at certain critical values. The latter, also referred to as phase transitions, are of main interest here as they only occur in nonlinear systems and are accompanied by phenomena like critical slowing down and fluctuation enhancement that can be probed for experimentally.

Haken-Kelso-Bunz (HKB) model

First published in 1985, the HKB model is the best-known and probably most extensively tested quantitative model in human movement behavior. In its original form, it describes the dynamics of the relative phase between two oscillating fingers or limbs under frequency scaling. The HKB model can be derived from coupled nonlinear oscillators and has been successfully extended in various ways, for instance, to situations where...

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Notes

Acknowledgment

Work reported herein was supported by NINDS Grant 48299, NIMH Grants 42900 and 80838, and the Pierre de Fermat Chair to J.A.S.K.

Bibliography

Primary Literature

  1. Assisi CG, Jirsa VK, Kelso JAS (2005) Dynamics of multifrequency coordination using parametric driving: theory and Experiment. Biol Cybern 93:6–21MathSciNetCrossRefMATHGoogle Scholar
  2. Buchanan JJ, Kelso JAS (1993) Posturally induced transitions in rhythmic multijoint limb movements. Exp Brain Res 94:131–142CrossRefGoogle Scholar
  3. Buchanan JJ, Kelso JAS, Fuchs A (1996) Coordination dynamics of trajectory formation. Biol Cybern 74:41–54CrossRefMATHGoogle Scholar
  4. Buchanan JJ, Kelso JAS, DeGuzman GC (1997) The self-organization of trajectory formation: I. Experimental evidence. Biol Cybern 76:257–273CrossRefMATHGoogle Scholar
  5. Carson RG, Goodman D, Kelso JAS, Elliott D (1995) Phase transitions and critical fluctuations in rhythmic coordination of ipsilateral hand and foot. J Mot Behav 27:211–224CrossRefGoogle Scholar
  6. Carson RG, Rick S, Smethrust CJ, Lison JF, Biblow WD (2000) Neuromuscular-skeletal constraints upon the dynamics of unimanual and bimanual coordination. Exp Brain Res 131:196–214CrossRefGoogle Scholar
  7. Carver FW, Fuchs A, Jantzen KJ, Kelso JAS (2002) Spatiotemporal analysis of neuromagnetic activity associated with rhythmic auditory stimulation. Clin Neurophysiol 113:1909–1920CrossRefGoogle Scholar
  8. Collins DR, Sternad D, Turvey MT (1996) An experimental note on defining frequency competition in intersegmental coordination dynamics. J Mot Behav 28:299–303CrossRefGoogle Scholar
  9. DeGuzman GC, Kelso JAS (1991) Multifrequency behavioral patterns and the phase attractive circle map. Biol Cybern 64:485–495CrossRefMATHGoogle Scholar
  10. DeGuzman GC, Kelso JAS, Buchanan JJ (1997) The self-organization of trajectory formation: II. Theoretical model. Biol Cybern 76:275–284CrossRefMATHGoogle Scholar
  11. Fink P, Kelso JAS, Jirsa VK, Foo P (2000) Local and global stabilization of coordination by sensory information. Exp Brain Res 134:9–20CrossRefGoogle Scholar
  12. Fuchs A, Jirsa VK (2000) The HKB model revisited: how varying the degree of symmetry controls dynamics. Hum Mov Sci 19:425–449CrossRefGoogle Scholar
  13. Fuchs A, Kelso JAS (1994) A theoretical note on models of Interlimb coordination. J Exp Psychol Hum Percept Perform 20:1088–1097CrossRefGoogle Scholar
  14. Fuchs A, Kelso JAS, Haken H (1992) Phase transitions in the human brain: spatial mode dynamics. Int J Bifurc Chaos 2:917–939CrossRefMATHGoogle Scholar
  15. Fuchs A, Jirsa VK, Haken H, Kelso JAS (1996) Extending the HKB-Model of coordinated movement to oscillators with different eigenfrequencies. Biol Cybern 74:21–30CrossRefMATHGoogle Scholar
  16. Fuchs A, Mayville JM, Cheyne D, Weinberg H, Deecke L, Kelso JAS (2000) Spatiotemporal analysis of neuromagnetic events underlying the emergence of coordinative instabilities. NeuroImage 12:71–84CrossRefGoogle Scholar
  17. Gardiner CW (1985) Handbook of stochastic systems. Springer, HeidelbergGoogle Scholar
  18. Haken H (1977) Synergetics, an introduction. Springer, HeidelbergCrossRefMATHGoogle Scholar
  19. Haken H (1983) Advanced synergetics. Springer, HeidelbergMATHGoogle Scholar
  20. Haken H, Kelso JAS, Bunz H (1985) A theoretical model of phase transition in human hand movements. Biol Cybern 51:347–356MathSciNetCrossRefMATHGoogle Scholar
  21. Jantzen KJ, Kelso JAS (2007) Neural coordination dynamics of human sensorimotor behavior: a review. In: Jirsa VK, McIntosh AR (eds) Handbook of brain connectivity. Springer, HeidelbergGoogle Scholar
  22. Jeka JJ, Kelso JAS (1995) Manipulating symmetry in human two-limb coordination dynamics. J Exp Psychol Hum Percept Perform 21:360–374CrossRefGoogle Scholar
  23. Jeka JJ, Kelso JAS, Kiemel T (1993a) Pattern switching in human multilimb coordination dynamics. Bull Math Biol 55:829–845CrossRefMATHGoogle Scholar
  24. Jeka JJ, Kelso JAS, Kiemel T (1993b) Spontaneous transitions and symmetry: pattern dynamics in human four limb coordination. Hum Mov Sci 12:627–651CrossRefMATHGoogle Scholar
  25. Jirsa VK, Fink P, Foo P, Kelso JAS (2000) Parametric stabilization of biological coordination: a theoretical model. J Biol Phys 26:85–112CrossRefGoogle Scholar
  26. Kay BA, Kelso JAS, Saltzman EL, Schöner G (1987) Space-time behavior of single and bimanual rhythmic movements: Data and limit cycle model. J Exp Psychol Hum Percept Perform 13:178–192CrossRefGoogle Scholar
  27. Kay BA, Saltzman EL, Kelso JAS (1991) Steady state and perturbed rhythmical movements: dynamical modeling using a variety of analytic tools. J Exp Psychol Hum Percept Perform 17:183–197CrossRefGoogle Scholar
  28. Kelso JAS (1981) On the oscillatory basis of movement. Bull Psychon Soc 18:63Google Scholar
  29. Kelso JAS (1984) Phase transitions and critical behavior in human bimanual coordination. Am J Physiol Regul Integr Comp 15:R1000–R1004Google Scholar
  30. Kelso JAS, DeGuzman GC (1988) Order in time: how the cooperation between the hands informs the design of the brain. In: Haken H (ed) Neural and synergetic computers. Springer, BerlinGoogle Scholar
  31. Kelso JAS, Jeka JJ (1992) Symmetry breaking dynamics of human multilimb coordination. J Exp Psychol Hum Percept Perform 18:645–668CrossRefGoogle Scholar
  32. Kelso JAS, Scholz JP, Schöner G (1986) Nonequilibrium phase transitions in coordinated biological motion: critical fluctuations. Phys Lett A 118:279–284ADSCrossRefGoogle Scholar
  33. Kelso JAS, Schöner G, Scholz JP, Haken H (1987) Phase locked modes, phase transitions and component oscillators in coordinated biological motion. Phys Scr 35:79–87ADSCrossRefGoogle Scholar
  34. Kelso JAS, DelColle J, Schöner G (1990) Action-perception as a pattern forming process. In: Jannerod M (ed) Attention and performance XIII. Erlbaum, Hillsdale, pp 139–169Google Scholar
  35. Kelso JAS, Bressler SL, Buchanan S, DeGuzman GC, Ding M, Fuchs A, Holroyd T (1992) A phase transition in human brain and behavior. Phys Lett A 169:134–144ADSCrossRefGoogle Scholar
  36. Kelso JAS, Fuchs A, Holroyd T, Lancaster R, Cheyne D, Weinberg H (1998) Dynamic cortical activity in the human brain reveals motor equivalence. Nature 392:814–818ADSCrossRefGoogle Scholar
  37. Mayville JM, Fuchs A, Ding M, Cheyne D, Deecke L, Kelso JAS (2001) Event-related changes in neuromagnetic activity associated with syncopation and synchronization timing tasks. Hum Brain Mapp 14:65–80CrossRefGoogle Scholar
  38. Mayville JM, Fuchs A, Kelso JAS (2005) Neuromagnetic motor fields accompanying self-paced rhythmic finger movements of different rates. Exp Brain Res 166:190–199CrossRefGoogle Scholar
  39. Park H, Turvey MT (2008) Imperfect symmetry and the elementary coordination law. In: Fuchs A, Jirsa VK (eds) Coordination: neural, behavioral and social dynamics. Springer, Heidelberg, pp 3–25CrossRefGoogle Scholar
  40. 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 118:78–92CrossRefGoogle Scholar
  41. Peper CE, Beek PJ, van Wieringen PC (1995) Frequency-induced phase transitions in bimanual tapping. Biol Cybern 73:303–309CrossRefGoogle Scholar
  42. Post AA, Peeper CE, Daffertshofer A, Beek PJ (2000) Relative phase dynamics in perturbed interlimb coordination: stability and stochasticity. Biol Cybern 83:443–459CrossRefMATHGoogle Scholar
  43. Schmidt RC, Beek PJ, Treffner PJ, Turvey MT (1991) Dynamical substructure of coordinated rhythmic movements. J Exp Psychol Hum Percept Perform 17:635–651CrossRefGoogle Scholar
  44. Scholz JP, Kelso JAS (1989) A quantitative approach to understanding the formation and change of coordinated movement patterns. J Mot Behav 21:122–144CrossRefGoogle Scholar
  45. Scholz JP, Kelso JAS, Schöner G (1987) Nonequilibrium phase transitions in coordinated biological motion: critical slowing down and switching time. Phys Lett A 8:90–394Google Scholar
  46. Schöner G, Kelso JAS (1988) Dynamic pattern generation in behavioral and neural systems. Science 239:1513–1520ADSCrossRefGoogle Scholar
  47. Schöner G, Haken H, Kelso JAS (1986) A stochastic theory of phase transitions in human hand movements. Biol Cybern 53:442–453CrossRefMATHGoogle Scholar
  48. Sternad D, Collins D, Turvey MT (1995) The detuning factor in the dynamics of interlimb rhythmic coordination. Biol Cybern 73:27–35CrossRefGoogle Scholar
  49. Sternad D, Turvey MT, Saltzman EL (1999) Dynamics of 1:2 coordination: generalizing relative phase to n:m rhythms. J Mot Behav 31:207–233CrossRefGoogle Scholar

Books and Reviews

  1. Fuchs A, Jirsa VK (eds) (2007) Coordination: neural, behavioral and social dynamics. Springer, HeidelbergGoogle Scholar
  2. Haken H (1996) Principles of brain functioning. Springer, HeidelbergCrossRefMATHGoogle Scholar
  3. Jirsa VK, Kelso JAS (eds) (2004) Coordination dynamics: issues and trends. Springer, HeidelbergGoogle Scholar
  4. Kelso JAS (1995) Dynamics pattern: the self-organization of brain and behavior. MIT Press, CambridgeGoogle Scholar
  5. Tschacher W, Dauwalder JP (eds) (2003) The dynamical systems approach to cognition: concepts and empirical paradigms based on self-organization, embodiment and coordination dynamics. World Scientific, SingaporeGoogle Scholar

Copyright information

© Springer Science+Business Media LLC 2017

Authors and Affiliations

  1. 1.Human Brain and Behavior Laboratory, Center for Complex Systems and Brain SciencesFlorida Atlantic UniversityBoca RatonUSA
  2. 2.Department of PhysicsFlorida Atlantic UniversityBoca RatonUSA
  3. 3.Intelligent Systems Research Centre, School of Computing and Intelligent SystemsUlster UniversityDerry LondonderryUK