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

Abstract

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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Copyright information

© The Author(s) 2016

Open Access This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), 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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