The effects of delay on the HKB model of human motor coordination

Lara I. Allen, Tamas G. Molnar, Zoltan Dombovari, S. John Hogan*

*Corresponding author for this work

Research output: Working paperPreprint

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Abstract

Understanding human motor coordination holds the promise of developing diagnostic methods for mental illnesses such as schizophrenia. In this paper, we analyse the celebrated Haken-Kelso-Bunz (HKB) model, describing the dynamics of bimanual coordination, in the presence of delay. We study the linear dynamics, stability, nonlinear behaviour and bifurcations of this model by both theoretical and numerical analysis. We calculate in-phase and anti-phase limit cycles as well as quasi-periodic solutions via double Hopf bifurcation analysis and centre manifold reduction. Moreover, we uncover further details on the global dynamic behaviour by numerical continuation, including the occurrence of limit cycles in phase quadrature and 1-1 locking of quasi-periodic solutions.
Original languageEnglish
DOIs
Publication statusPublished - 2 Nov 2022

Bibliographical note

Submitted to the SIAM Journal on Applied Dynamical Systems. 27 pages, 8 figures

Structured keywords

  • Engineering Mathematics Research Group

Keywords

  • math.DS

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