使用自适应远程交互的稳定群集
Stable Swarming Using Adaptive Long-range Interactions
摘要：
生物学中的感觉机制，从细胞到人类，都具有自适应性，即传感器产生的响应适应于信号的整体幅度;在强刺激存在时降低灵敏度，而在弱刺激存在时增加灵敏度。这种性质本质上是能量消耗的，是生物体非平衡性质的表现。在这里，我们探讨如何适应影响的有效力量，生物体感到由于他人在一个统一的群体的背景下，在二维和三维。个体之间的相互作用被认为是有吸引力的和长距离的，幂律形式。我们发现，群内的自适应性的影响是戏剧性的，有效的力量减少（或保持不变）与群密度的增加。线性稳定性分析演示了当力是自适应的时，该属性如何防止崩溃（Jeans不稳定性）。因此，适应性赋予蜂群一种自然的自我稳定机制。
英文摘要：
Sensory mechanisms in biology, from cells to humans, have the property of adaptivity, whereby the response produced by the sensor is adapted to the overall amplitude of the signal; reducing the sensitivity in the presence of strong stimulus, while increasing it when it is weak. This property is inherently energy consuming and a manifestation of the non-equilibrium nature of living organisms. We explore here how adaptivity affects the effective forces that organisms feel due to others in the context of a uniform swarm, both in two and three dimensions. The interactions between the individuals are taken to be attractive and long-range, of power-law form. We find that the effects of adaptivity inside the swarm are dramatic, where the effective forces decrease (or remain constant) with increasing swarm density. Linear stability analysis demonstrates how this property prevents collapse (Jeans instability), when the forces are adaptive. Adaptivity therefore endows swarms with a natural mechanism for self-stabilization.
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