标题： 步行虫运动中的波状同步现象 显示英文标题

标题： Wavy synchronization in locomotion of train millipedes

摘要： 同步现象已在萤火虫的闪光和青蛙的齐声鸣叫等多种生物系统中被观察到。 本研究中，我们报道了火车马陆（Parafontaria laminata armigera）运动中的波浪状同步现象，并基于相位振荡器模型探讨了其机制。 首先，我们进行了行为学实验，观察到马陆群体中波数约为3的波浪状同步现象。 其次，我们提出了一个具有两种相移参数的相位振荡器模型，并从序参量的经验数据中估计出合适的参数值。 最终，我们成功地在假设所提出模型中存在不对称相移参数的情况下，定量解释了行走马陆的波浪状同步现象。 鉴于火车马陆复杂的行走行为，本研究有助于进一步理解生物运动机制。 显示英文摘要

摘要： Synchronization was observed in various biological systems such as flashing of fireflies and chorus of frogs. In this study, we report wavy synchronization in the locomotion of train millepedes (Parafontaria laminata armigera) and examine its mechanism on the basis of a phase oscillator model. First, we performed behavioral experiments and observed wavy synchronization in the millipedes with a wave number of approximately 3. Second, we proposed a phase oscillator model with two kinds of phase shift parameters and estimated suitable parameter values from the empirical data of an order parameter. Consequently, we succeeded in quantitatively explaining the wavy synchronization of walking millepedes when assuming asymmetric phase shift parameters in the proposed model. Given the sophisticated walking behavior of the train millepedes, this study contributes to further understanding of the mechanism in biological locomotion.