53
Views
16
CrossRef citations to date
0
Altmetric
Research Articles

Dynamics of 1:2 Coordination: Sources of Symmetry Breaking

, &
Pages 224-235 | Received 30 Jan 1998, Accepted 27 Jun 1996, Published online: 01 Apr 2010

References

  • Amazeen , E. L. , Amazeen , P. , Treffner , P. J. and Turvey , M. T. 1997 . Attention and handedness in bimanual coordination dynamics. . Journal of Experimental Psychology: Human Perception and Performance , 23 : 1552 – 1560 .
  • Beek , P. 1989 . Juggling dynamics , Doctoral dissertation Amsterdam, , The Netherlands : Free University Press .
  • Beek , P. , Turvey , M. T. and Schmidt , R. C. 1992 . Autonomous and nonautonomous dynamics of coordinated rhythmic movements. . Ecological Psychology , 4 : 65 – 95 .
  • Bramble , D. M. and Carrier , D. R. 1983 . Running and breathing in mammals. . Science , 219 : 251 – 256 .
  • Byblow , W. D. , Carson , R. G. and Goodman , D. 1994 . Expressions of asymmetries and anchoring in bimanual coordination. . Human Movement Science , 13 : 3 – 28 .
  • Byblow , W. D. and Goodman , D. 1994 . Performance asymmetries in multifrequency coordination. . Human Movement Science , 13 : 147 – 174 .
  • Cohen , A. H. , Holmes , P. J. and Rand , R. H. 1982 . The nature of the coupling between segmental oscillators of the lamprey spinal generator for locomotion: A mathematical model. . Journal of Mathematical Biology , 13 : 345 – 369 .
  • Collins , D. R. , Sternad , D. and Turvey , M. T. 1996 . An experimental note on defining frequency competition in intersegmental coordination dynamics. . Journal of Motor Behavior , 28 : 299 – 304 .
  • Dijkstra , T. M. H. , Schöner , G. and Gielen , C. C.A. M. 1994 . Temporal stability of the action‐perception cycle for postural control in a moving visual environment. . Experimental Brain Research , 97 : 477 – 486 .
  • Dijkstra , T. M. H. , Schöner , G. , Giese , M. A. and Gielen , C. C. A. M. 1994 . Frequency dependence of the action‐perception cycle for postural control in a moving visual environment: Relative phase dynamics. . Biological Cybernetics , 71 : 489 – 501 .
  • Haken , H. 1977 . Introduction to synergetics , Berlin : Springer‐Verlag .
  • Haken , H. 1983 . Advanced synergetics , Berlin : Springer‐Verlag .
  • Haken , H. , Kelso , J. A. S. and Bunz , H. 1985 . A theoretical model of phase transitions in human hand movements. . Biological Cybernetics , 51 : 347 – 356 .
  • Haken , H. , Peper , C. E. , Beek , P. J. and Daffertshofer , A. 1996 . A model for phase transitions in human hand movements during multifrequency tapping. . Physica D , 90 : 179 – 196 .
  • von Holst , E. 1973 . “ Relative coordination as a phenomenon and as a method of analysis of central nervous system function ” . In The collected papers of Erich von Holst: Vol. 1. The behavioral physiology of animal and man , Edited by: Martin , R. 3 – 135 . Coral Gables, FL : University of Miami Press . Original work published 1939
  • Keith , W. L. and Rand , R. H. 1984 . 1:1 and 2:1 phase entrainment in a system of two coupled limit cycle oscillators. . Journal of Mathematical Biology , 20 : 133 – 152 .
  • Kelso , J. A. S. 1994 . “ Elementary coordination dynamics ” . In Interlimb coordination , Edited by: Swinnen , S. P. , Heuer , H. , Massion , J. and Casaer , P. 301 – 319 . San Diego, CA : Academic Press .
  • Kelso , J. A. S. 1995 . Dynamic patterns , Cambridge, MA : MIT Press .
  • Kelso , J. A. S. , DelColle , J. and Schöner , G. 1990 . “ Action‐perception as a pattern formation process ” . In Attention and performance XIII , Edited by: Jeannerod , M. 139 – 169 . Hillsdale, NJ : Erlbaum .
  • Kelso , J. A. S. and Jeka , J. J. 1992 . Symmetry breaking dynamics of human multilimb coordination. . Journal of Experimental Psychology: Human Perception and Performance , 18 : 645 – 668 .
  • Kopell , N. 1988 . “ Toward a theory of modeling central pattern generators ” . In Neural control of rhythmic movements in vertebrates , Edited by: Cohen , A. H. , Rossignol , S. and Grillner , S. 369 – 413 . New York : Wiley .
  • Kugler , P. N. 1986 . “ A morphological perspective on the origin and evolution of movement patterns ” . In Motor development in children: Aspects of coordination and control , Edited by: Wade , M. G. and Whiting , H. TA. Dordrecht, , The Netherlands : Martinus Nijhoff .
  • Kugler , P. N. and Turvey , M. T. 1987 . Information, natural law and the self‐assembly of rhythmic movement , Hillsdale, NJ : Erlbaum .
  • Peper , C. E. , Beek , P. J. and van Wieringen , P. C.W. 1995 . Multifrequency coordination in bimanual tapping: Asymmetrical coupling and signs of supercriticality. . Journal of Experimental Psychology: Human Perception and Performance , 21 : 1117 – 1138 .
  • Peters , M. 1981 . Attentional asymmetries during concurrent bimanual performance. . Quarterly Journal of Experimental Psychology , 33A : 95 – 103 .
  • Peters , M. 1994 . “ Does handedness play a role in the coordination of bimanual movement ” . In Interlimb coordination , Edited by: Swinnen , S. P. , Heuer , H. , Massion , J. and Casaer , P. 595 – 618 . San Diego, CA : Academic Press .
  • Peters , M. and Schwartz , S. 1988 . Coordination of the two hands and effects of attentional manipulation of the production of a bimanual 2:3 polyrhythm. . Australian Journal of Psychology , 41 : 215 – 224 .
  • Peters , M. and Servos , P. 1989 . Performance of subgroups of lefthanders and righthanders. . Canadian Journal of Psychology , 43 : 341 – 358 .
  • Riley , M. , Amazeen , E. , Amazeen , P. , Treffner , P. J. and Turvey , M. T. 1997 . Effects of temporal scaling and attention on the asymmetric dynamics of bimanual coordination. . Motor Control , 1 : 247 – 262 .
  • Schmidt , R. C. and Turvey , M. T. 1995 . Models of interlimb coordination—Equilibria, local analyses, and spectral patterning: Comment on Fuchs and Kelso (1994). . Journal of Experimental Psychology: Human Perception and Performance , 21 : 432 – 445 .
  • Schöner , G. , Haken , H. and Kelso , J. A. S. 1986 . A stochastic theory of phase transitions in human hand movement. . Biological Cybernetics , 53 : 442 – 452 .
  • Stein , P. S. G. 1977 . Applications of the mathematics of coupled oscillator systems to analysis of the neural control of locomation. . Federation Proceedings , 36 : 2056 – 2059 .
  • Sternad , D. , Amazeen , E. L. and Turvey , M. T. 1996 . Diffusive, synaptic and synergetic coupling: An evaluation through inphase and antiphase rhythmic movements. . Journal of Motor Behavior , 28 : 255 – 269 .
  • Sternad , D. , Collins , D. and Turvey , M. T. 1995 . The detuning factor in the dynamics of rhythmic interlimb coordination. . Biological Cybernetics , 73 : 27 – 35 .
  • Sternad , D. , Turvey , M. T. and Saltzman , E. L. 1999a . Dynamics of 1:2 coordination: Generalizing relative phase to n:m rhythms. . Journal of Motor Behavior , 31 : 207 – 223 .
  • Sternad , D. , Turvey , M. T. and Saltzman , E. L. 1999b . Dynamics of 1:2 coordination in rhythmic interlimb movement: Temporal scaling, latent 1:1, and bistability. . Journal of Motor Behavior , 31 : 236 – 247 .
  • Sternad , D. , Turvey , M. T. and Schmidt , R. C. 1992 . Average phase difference theory and 1:1 phase entrainment in interlimb coordination. . Biological Cybernetics , 67 : 223 – 231 .
  • Summers , J. J. , Ford , S. K. and Todd , J. A. 1993 . Practice effects on the coordination of the two hands in a bimanual tapping task. . Human Movement Science , 12 : 111 – 133 .
  • Summers , J. J. and Kennedy , T. M. 1992 . Strategies in the production of a 5:3 polyrhythm. . Human Movement Science , 11 : 101 – 112 .
  • Summers , J. J. , Rosenbaum , D. A. , Burns , B. D. and Ford , S. K. 1993 . Production of polyrhythms. . Journal of Experimental Psychology: Human Perception and Performance , 19 : 416 – 428 .
  • Treffner , P. J. and Turvey , M. T. 1995 . Handedness and the asymmetric dynamics of bimanual rhythmic coordination. . Journal of Experimental Psychology: Human Perception and Performance , 21 : 318 – 334 .
  • Treffner , P. J. and Turvey , M. T. 1996 . Symmetry, broken symmetry, and handedness in bimanual coordination dynamics. . Experimental Brain Research , 107 : 463 – 478 .
  • Turvey , M. T. and Carello , C. 1996 . “ Dynamics of Bernstein's level of synergies ” . In Dexterity and its development , Edited by: Latash , M. and Turvey , M. T. 339 – 376 . Hillsdale, NJ : Erlbaum .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.