论文标题
在具有螺旋轨迹的三维蜂群模型中过渡到同步
Transition to Synchrony in a Three-Dimensional Swarming Model with Helical Trajectories
论文作者
论文摘要
我们研究了具有螺旋轨迹的三维蜂群模型，从噪声和全球耦合的情况下，研究了从不连贯到全球集体运动的过渡。没有噪声，该模型最近是作为库拉马托模型的概括的，发现速度的比对不连续出现，以实现任意小的有吸引力的耦合。向系统中添加噪声可以解决此奇异极限，并导致连续的过渡，要么是有向的集体运动或质量旋转的。
We investigate the transition from incoherence to global collective motion in a three-dimensional swarming model of agents with helical trajectories, subject to noise and global coupling. Without noise this model was recently proposed as a generalization of the Kuramoto model and it was found that alignment of the velocities occurs discontinuously for arbitrarily small attractive coupling. Adding noise to the system resolves this singular limit and leads to a continuous transition, either to a directed collective motion or to center-of-mass rotations.
