The Effects of Delay on the HKB Model of Human Motor Coordination

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-01-03 DOI:10.1137/22m1531518

L. I. Allen, T. G. Molnár, Z. Dombóvári, S. J. Hogan

引用次数: 0

Abstract

SIAM Journal on Applied Dynamical Systems, Volume 23, Issue 1, Page 1-25, March 2024.
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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延迟对人类运动协调 HKB 模型的影响

SIAM 应用动力系统期刊》第 23 卷第 1 期第 1-25 页，2024 年 3 月。摘要在本文中，我们分析了著名的 Haken-Kelso-Bunz 模型，该模型描述了存在延迟的双臂协调动力学。我们通过理论和数值分析研究了该模型的线性动力学、稳定性、非线性行为和分岔。我们通过双霍普夫分岔分析和中心流形还原计算了同相和反相极限循环以及准周期解。此外，我们还通过数值延续揭示了全局动态行为的更多细节，包括相位正交极限循环的出现和准周期解的 1-1 锁定。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.