The European Physical Journal Special Topics

, Volume 225, Issue 13–14, pp 2591–2600 | Cite as

Effects of time-delay in a model of intra- and inter-personal motor coordination

  • Piotr Słowiński
  • Krasimira Tsaneva-Atanasova
  • Bernd Krauskopf
Open Access
Regular Article Numerical Continuation in Self-sustained Oscillators
Part of the following topical collections:
  1. Temporal and Spatio-Temporal Dynamic Instabilities: Novel Computational and Experimental Approaches


Motor coordination is an important feature of intra- and inter-personal interactions, and several scenarios — from finger tapping to human-computer interfaces — have been investigated experimentally. In the 1980s, Haken, Kelso and Bunz formulated a coupled nonlinear two-oscillator model, which has been shown to describe many observed aspects of coordination tasks. We present here a bifurcation study of this model, where we consider a delay in the coupling. The delay is shown to have a significant effect on the observed dynamics. In particular, we find a much larger degree of bistablility between in-phase and anti-phase oscillations in the presence of a frequency detuning.


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© The Author(s) 2016

Open Access This is an Open Access article distributed under the terms of the Creative Commons Attribution License (, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Authors and Affiliations

  • Piotr Słowiński
    • 1
  • Krasimira Tsaneva-Atanasova
    • 1
  • Bernd Krauskopf
    • 2
  1. 1.Department of MathematicsCollege of Engineering, Mathematics and Physical Sciences, University of ExeterExeter, DevonUK
  2. 2.Department of MathematicsUniversity of AucklandAuckland 1142New Zealand

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