Predicting the nonlinear shift of stable equilibria in interlimb rhythmic coordination

Eric L. Amazeen, Dagmar Sternad, M. T. Turvey

Research output: Contribution to journalArticlepeer-review

38 Scopus citations


A major prediction of the elementary coordination dynamics of two contralateral limb segments in 1 : 1 frequency locking was tested. A shift in stable steady-state relative phase φ from 0 and π radians is induced by a difference Δω in the uncoupled frequencies of the segments. The elementary coordination dynamics, an order parameter equation in φ, predicts that equilibrium shift will be a third-order polynomial function of Δω with a cubic coefficient that is (a) positive when the control parameter is constant, and (b) negative when the control parameter decreases with Δω. The prediction was confirmed in an experiment that manipulated Δω through differential loadings and the control parameter through coupled frequency. Implications for the dynamical modelling of coordination were discussed.

Original languageEnglish (US)
Pages (from-to)521-542
Number of pages22
JournalHuman Movement Science
Issue number4
StatePublished - Aug 1996
Externally publishedYes


  • Coordination
  • Equilibria
  • Nonlinear
  • Relative phase

ASJC Scopus subject areas

  • Biophysics
  • Orthopedics and Sports Medicine
  • Experimental and Cognitive Psychology


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