The Effects of Delay on the HKB Model of Human Motor Coordination
Abstract.
In this paper, we analyze the celebrated Haken–Kelso–Bunz model, describing the dynamics of bimanual coordination, in the presence of delay. We study the linear dynamics, stability, nonlinear behavior, and bifurcations of this model by both theoretical and numerical analysis. We calculate in-phase and antiphase limit cycles as well as quasi-periodic solutions via double Hopf bifurcation analysis and center manifold reduction. Moreover, we uncover further details on the global dynamic behavior by numerical continuation, including the occurrence of limit cycles in phase quadrature and 1-1 locking of quasi-periodic solutions.
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Title of paper: The Effects of Delay on the HKB Model of Human Motor Coordination
Authors: L. I. Allen, T. G. Molnár, Z. Dombóvári, and S. J. Hogan
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Information & Authors
Information
Published In
SIAM Journal on Applied Dynamical Systems
Pages: 1 - 25
DOI: 10.1137/22M1531518
ISSN (online): 1536-0040
Copyright
© 2024 Society for Industrial and Applied Mathematics.
History
Submitted: 28 October 2022
Accepted: 6 August 2023
Published online: 3 January 2024
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Funding Information
Hungarian Academy of Sciences
Funding: The fourth author received support from the Hungarian Academy of Sciences through its Distinguished Guest Scientist Programme.
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