A Switching Hybrid Dynamical System: Toward Understanding Complex Interpersonal Behavior
A Switching Hybrid Dynamical System: Toward Understanding Complex Interpersonal Behavior
复制标题
DOI：
10.20944/preprints201811.0079.v1
复制
发表时间：
2018-11
期刊：
影响因子：
--
通讯作者：
Yuji Yamamoto;Akifumi Kijima;Motoki Okumura;K. Yokoyama;K. Gohara
中科院分区：
文献类型：
--
作者：
Yuji Yamamoto;Akifumi Kijima;Motoki Okumura;K. Yokoyama;K. Gohara
复杂的人类行为，包括肢体间和人际协调，已经从动力系统的角度进行了研究。我们审查的应用程序的动态系统方法的体育活动，其中包括连续，离散和切换动态。连续动态确定在和反相同步，控制0.1米的人际距离在专家剑道比赛中，使用相对相位分析之间的切换。在离散动力系统中，对剑道比赛中的动作时间序列进行了回归映射分析。进攻和防守动作被分为6种协调模式，即吸引和排斥。此外，这些吸引子和排斥子表现出两个离散的状态。然后，基于这两个状态，计算了状态转移概率，阐明了协调模式和切换行为。我们引入了切换动力学与时间输入，以澄清简单的规则背后的复杂行为对应的切换输入的罢工行动作为一个非自治系统。因此，我们确定的时间演变的打击行动的特点是分形运动模式产生的一个简单的康托集规则与旋转。最后，我们提出了一个切换混合动力学来理解球场网络体育，作为强耦合的人际竞争，和弱耦合的体育，如武术。
Complex human behavior, including interlimb and interpersonal coordination, has been studied from a dynamical system perspective. We review the applications of a dynamical system approach to a sporting activity, which includes continuous, discrete, and switching dynamics. Continuous dynamics identified switching between in- and anti-phase synchronization, controlled by an interpersonal distance of 0.1 m during expert kendo matches, using a relative phase analysis. In the discrete dynamical system, return map analysis was applied to the time series of movements during kendo matches. Offensive and defensive maneuvers were classified as six coordination patterns, that is, attractors and repellers. Furthermore, these attractors and repellers exhibited two discrete states. Then, state transition probabilities were calculated based on the two states, which clarified the coordination patterns and switching behavior. We introduced switching dynamics with temporal inputs to clarify the simple rules underlying the complex behavior corresponding to switching inputs in a striking action as a non-autonomous system. As a result, we determined that the time evolution of the striking action was characterized as fractal-like movement patterns generated by a simple Cantor set rule with rotation. Finally, we propose a switching hybrid dynamics to understand both court-net sports, as strongly coupled interpersonal competition, and weakly coupled sports, such as martial arts.