Integrated understanding for motor skill learning from dynamical system approach

本项目挑战了从动力系统的角度来理解各种运动技能的涌现机制。结果表明：摆动的配位模式与钟摆的等时性基本一致。在与听觉信号相对应的舞蹈动作中，当频率增加时，专家可以保持反相位同步。基于随机动力学的分形维数可以用来评价乒乓球运动员的技术水平。在剑道比赛中，两名选手之间的步向速度的相对相位呈现出与人际距离对应的突然切换。在捉迷藏的学习过程中，玩家之间的同步是基于两个玩家之间的步向速度相对相位的反相位同步而实现的死锁同步。3对1控球任务中3人的协调模式呈现出与球员技术水平相对应的对称破缺模式，这是基于耦合振环群论的对称Hopf分岔理论预测的。足球比赛中的传球行为在度分布上表现为幂律，并表现为两个小型竞争网络的共同和独特的网络动力学。

This project has challenged to understand emergent mechanism of various sports skill from the dynamical system perspective. Some results show following : the coordination pattern for swing showed almost corresponding to isochrony of a pendulum. In the dance movement corresponding to auditory signals experts could maintain anti-phase synchronization when the frequency increased. The skill level of table tennis players could be evaluated by fractal dimensions based on stochastic dynamics. In the kendo matches, the relative phase of step towards-away velocities between both players showed abruptly switching corresponding to interpersonal distance. In the learning processes of play-tag, the players became dead-lock' synchronization based on the anti-phase synchronization of the relative phase of step towards-away velocities between both players. The coordination pattern among three people in a 3 vs. 1 ball possession task showed symmetry breaking pattern corresponding to the skill levels of the players which was predicted from symmetric Hopf bifurcation theory based on group theory for rings of coupled oscillators. The pass behavior in football games showed power law in degree distribution and common and unique network dynamics as two small competitive networks.