Effects of time-delay in a model of intra- and inter-personal motor coordination
1 Department of Mathematics, College of Engineering, Mathematics and Physical Sciences, University of Exeter, Exeter, Devon, EX4 4QF, UK
2 Department of Mathematics, University of Auckland, Auckland 1142, New Zealand
a e-mail: K.Tsaneva-Atanasova@exeter.ac.uk
Received: 15 December 2015
Revised: 7 June 2016
Published online: 22 November 2016
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.
© The Author(s) 2016
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