论文标题
延迟对人类运动协调HKB模型的影响
The effects of delay on the HKB model of human motor coordination
论文作者
论文摘要
在本文中，我们分析了著名的Haken-Kelso-Bunz（HKB）模型，描述了在延迟的情况下，描述了双人协调的动态。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，非线性行为和分叉。我们通过双HOPF分叉分析和中心歧管降低计算同相和反相极限循环以及准周期溶液。此外，我们通过数值延续发现了有关全局动态行为的更多详细信息，包括相位正交中极限循环的发生和1-1的准周期溶液锁定。
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.
