Beyond in-phase and anti-phase coordination in a model of joint action.
Beyond in-phase and anti-phase coordination in a model of joint action.
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DOI：
10.1007/s00422-016-0691-9
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发表时间：
2016-06
影响因子：
1.9
通讯作者：
Tsaneva-Atanasova K
中科院分区：
文献类型：
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作者：
Avitabile D;Słowiński P;Bardy B;Tsaneva-Atanasova K
1985年，Haken， Kelso和Bunz提出了一个耦合非线性振荡器系统，作为人类双手协调节奏运动模式的模型。从那时起，Haken-Kelso-Bunz （HKB）模型已成为广泛应用于运动科学各个领域的建模范式，包括人际运动协调。然而，所有先前的研究都遵循了基于缓慢变化的振幅和旋转波近似的分析。这些近似导致一个简化的系统，由单个微分方程组成，表示两个耦合振荡器的相对相位的演变：相对相位的HKB模型。在这里，我们采用不同的方法，系统地研究了HKB模型在全四维状态空间和一般耦合强度中的行为。我们进行了详细的数值分岔分析，并揭示了HKB模型支持以前未报道的动态机制以及各种协调模式之间的双稳定性。此外，我们确定了模型中不同协调机制的稳定性边界，并讨论了我们的发现对人际协调和其他联合行动任务的适用性。
In 1985, Haken, Kelso and Bunz proposed a system of coupled nonlinear oscillators as a model of rhythmic movement patterns in human bimanual coordination. Since then, the Haken–Kelso–Bunz (HKB) model has become a modelling paradigm applied extensively in all areas of movement science, including interpersonal motor coordination. However, all previous studies have followed a line of analysis based on slowly varying amplitudes and rotating wave approximations. These approximations lead to a reduced system, consisting of a single differential equation representing the evolution of the relative phase of the two coupled oscillators: the HKB model of the relative phase. Here we take a different approach and systematically investigate the behaviour of the HKB model in the full four-dimensional state space and for general coupling strengths. We perform detailed numerical bifurcation analyses and reveal that the HKB model supports previously unreported dynamical regimes as well as bistability between a variety of coordination patterns. Furthermore, we identify the stability boundaries of distinct coordination regimes in the model and discuss the applicability of our findings to interpersonal coordination and other joint action tasks.