聚集在混乱的边缘
Flocking at the edge of chaos
摘要：
最近的调查提供了重要的洞察复杂的结构和动态集体移动成群的生物体。两个有趣的观察，无标度的相关性的速度波动，在存在的高度的秩序，和拓扑距离介导的相互作用。理解这些特征，特别是波动的起源，在目前的模式中似乎是具有挑战性的。有人认为，鸡群处于临界状态。我们提出了一个自推进的粒子模型，通过基于拓扑的规则定义的邻域和力量。力的波动是自发发生的，并且在没有噪声和存在速度对齐的情况下产生无标度关联。我们通过功率谱密度和李雅普诺夫谱来描述模型的行为。我们的研究表明，自组织临界性作为一个可能的途径存在的临界性在羊群。
英文摘要：
Recent investigations have provided important insights into the complex structure and dynamics of collectively moving flocks of living organisms. Two intriguing observations are, scale-free correlations in the velocity fluctuations, in the presence of a high degree of order, and topological distance mediated interactions. Understanding these features, especially, the origin of fluctuations, appears to be challenging in the current scheme of models. It has been argued that flocks are poised at criticality. We present a self-propelled particle model where neighbourhoods and forces are defined through topology based rules. The force fluctuations occur spontaneously, and gives rise to scale-free correlations in the absence of noise and in the presence of alignment of velocities. We characterize the behaviour of the model through power spectral densities and the Lyapunov spectrum. Our investigations suggest self-organized criticality as a probable route to the existence of criticality in flocks.
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