Predicting the nonlinear shift of stable equilibria in interlimb rhythmic coordination

Predicting the nonlinear shift of stable equilibria in interlimb rhythmic coordination
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DOI:
10.1016/0167-9457(96)00025-5
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发表时间:
1996-08-01
影响因子:
2.1
通讯作者:
Turvey, MT
Turvey, MT
中科院分区:
心理学3区
文献类型:
--
作者:
Amazeen, EL;Sternad, D;Turvey, MT

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对1:1频率锁定中对侧肢体两个节段的基本协调动力学的主要预测进行了测试。稳定稳态相对相位φ从0和π弧度的偏移由段的非耦合频率中的差Δ ω引起。基本的协调动力学,一个以phi为单位的序参数方程,预测平衡位移将是Delta omega的三阶多项式函数,其三次系数(a)当控制参数恒定时为正,并且(B)当控制参数随Delta omega减小时为负。预测证实了在一个实验中,通过差分加载和控制参数,通过耦合频率操纵Δ Ω。讨论了协调的动态模型的影响。
A major prediction of the elementary coordination dynamics of two contralateral limb segments in 1:1 frequency locking was tested. A shift in stable steady-state relative phase phi from 0 and pi radians is induced by a difference Delta omega in the uncoupled frequencies of the segments. The elementary coordination dynamics, an order parameter equation in phi, predicts that equilibrium shift will be a third-order polynomial function of Delta omega with a cubic coefficient that is (a) positive when the control parameter is constant, and (b) negative when the control parameter decreases with Delta omega. The prediction was confirmed in an experiment that manipulated Delta omega through differential loadings and the control parameter through coupled frequency. Implications for the dynamical modelling of coordination were discussed.