Extending the HKB model of coordinated movement to oscillators with different eigenfrequencies
Extending the HKB model of coordinated movement to oscillators with different eigenfrequencies
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DOI：
10.1007/bf00199134
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发表时间：
1996-01-01
影响因子：
1.9
通讯作者：
Kelso, JAS
中科院分区：
文献类型：
--
作者：
Fuchs, A;Jirsa, VK;Kelso, JAS
我们研究了一个耦合非线性振子系统的动力学，该系统已被用于模拟协调的人类运动行为。在早期的工作相比，我们研究的情况下，两个组件振荡器有不同的本征频率。与时间序列（从实验）分解成振幅和相位的问题进行了讨论。我们表明，振荡器系统的主频率的倍数的振荡可能会发生在相位和振幅由于选择的坐标系，以及如何可以消除这些振荡。我们推导出一个明确的方程的动力学的相对相位的振荡器系统在相空间中，使理论和实验之间的直接比较。
We study the dynamics of a system of coupled nonlinear oscillators that has been used to model coordinated human movement behavior. In contrast to earlier work we examine the case where the two component oscillators have different eigenfrequencies. Problems related to the decomposition of a time series (from an experiment) into amplitude and phase are discussed. We show that oscillations at multiples of the main frequency of the oscillator system may occur in the phase and amplitude due to the choice of a coordinate system and how these oscillations can be eliminated. We derive an explicit equation for the dynamics of the relative phase of the oscillator system in phase space that enables a direct comparison between theory and experiment.