A geometric condition for robot-swarm cohesion and cluster-flock transition

Mathias Casiulis, Eden Arbel, Yoav Lahini, Stefano Martiniani, Naomi Oppenheimer, Matan Yah Ben Zion
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Abstract

We present a geometric design rule for size-controlled clustering of self-propelled particles. Active particles that tend to rotate under an external force have an intrinsic signed-parameter with units of curvature, which we term curvity, derivable from first principles. Robot experiments and numerical simulations show that the properties of the individual robot alone -- radius and curvity -- control pair-cohesion in a binary system as well as the stability of flocking and clustering in a swarm. Our results have applications in meta-materials and embodied decentralized control.
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机器人群凝聚力和群锁过渡的几何条件
我们提出了一种尺寸可控的自推进粒子聚类几何设计规则。在外力作用下趋于旋转的有源粒子有一个以曲率为单位的固有符号参数,我们称之为曲率,它可以从第一原理推导出来。机器人实验和数值模拟表明,单个机器人的属性--半径和曲率--控制着二元系统中的成对粘合力,以及蜂群中成群和聚群的稳定性。我们的研究成果可应用于元材料和嵌入式分散控制领域。
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