We investigate the effect of noise on the emergence of flocking in a coupled systems by constructing a second-order coupled dynamics model, in which the inter-subgroup interaction is affected by external interference and disturbances. Based on the principle of comparison, we derive sufficient conditions for flocking and non-flocking in terms of the noise intensity and system parameters. We report that the coupled population cannot aggregate if the noise is large, while under the premise of small noise, the flocking behavior will emerge. Moreover, we find form the simulation that appropriate noise can promote the generation of flocking.

中文翻译：

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噪声环境中耦合系统的植绒动力学

我们通过构建二阶耦合动力学模型来研究噪声对耦合系统中聚集现象的影响，其中子群间的相互作用受到外部干扰和干扰的影响。基于比较的原则，我们从噪声强度和系统参数方面推导出了植绒和非植绒的充分条件。我们报告，如果噪声大，耦合种群无法聚集，而在噪声小的前提下，会出现集群行为。此外，我们从仿真中发现，适当的噪声可以促进植绒的产生。