Diedrich F J, Warren W H
Department of Cognitive and Linguistic Sciences, Brown University, Providence, RI.
J Mot Behav. 1998 Mar;30(1):60-78. doi: 10.1080/00222899809601323.
Diedrich and Warren (1995a) proposed that gait transitions behave like bifurcations between attractors, with the relative phase of the leg segments as an order parameter and stride frequency and stride length as control parameters. In the present experiments, the authors tested the prediction that manipulation of the attractor layout, either through the addition of load to the ankles or through an increase in the grade of the treadmill, induces corresponding changes in the walk-run transition. As predicted, the load manipulation shifted the most stable walk and the transition to lower stride frequencies. In contrast, the grade manipulation shifted the most stable walk and the transition to shorter stride lengths. Other features of the dynamic theory were also replicated, including enhanced fluctuations of phase and systematic changes in stride length and frequency at the transition. Overall, in these experiments a shift of the attractors in control parameter space yielded a corresponding shift of the transition.
迪德里希和沃伦(1995a)提出,步态转换的行为类似于吸引子之间的分岔,腿部各节段的相对相位作为序参量,步频和步长作为控制参量。在本实验中,作者测试了如下预测:通过给脚踝增加负荷或提高跑步机坡度来操纵吸引子布局,会引起走-跑转换的相应变化。正如预测的那样,负荷操纵使最稳定的行走状态以及向更低步频的转换发生了偏移。相比之下,坡度操纵使最稳定的行走状态以及向更短步长的转换发生了偏移。动力学理论的其他特征也得到了重现,包括相位波动增强以及转换时步长和频率的系统性变化。总体而言,在这些实验中,控制参数空间中吸引子的偏移产生了转换的相应偏移。