Effects of time-delay in a model of intra- and inter-personal motor coordination |
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Authors: | Piotr Słowiński Krasimira Tsaneva-Atanasova Bernd Krauskopf |
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Institution: | 1.Department of Mathematics,College of Engineering, Mathematics and Physical Sciences, University of Exeter,Exeter, Devon,UK;2.Department of Mathematics,University of Auckland,Auckland 1142,New Zealand |
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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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