空间分布的主动旋转种群的动态群体感应和聚类动力学
Dynamical quorum sensing and clustering dynamics in a population of spatially distributed active rotators
摘要：
提出了一种空间分布的主动转子种群的聚类动力学模型。从可激发到振荡动力学的过渡是由主动转子的局部密度的增加引起的。它被解释为动态群体感应。在振荡状态下，相位波传播没有衰减，这在集群动力学中产生了有效的长程相互作用。集群过程变得便利，只有一个占主导地位的集群出现迅速作为一个结果的动态群体感应。对一个简化的模型方程求出了一个精确的定域解，并对两个定域态之间的竞争动力学进行了数值研究。
英文摘要：
A model of clustering dynamics is proposed for a population of spatially distributed active rotators. A transition from excitable to oscillatory dynamics is induced by the increase of the local density of active rotators. It is interpreted as dynamical quorum sensing. In the oscillation regime, phase waves propagate without decay, which generates an effectively long-range interaction in the clustering dynamics. The clustering process becomes facilitated and only one dominant cluster appears rapidly as a result of the dynamical quorum sensing. An exact localized solution is found to a simplified model equation, and the competitive dynamics between two localized states is studied numerically.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
