反聚集公交与局部单向 Kuramoto 振子的稳定性
适应与自组织系统
2019-12-16 v1 信号处理
物理与社会
摘要
受我们近期将公交聚集视为相位振子同步现象这一工作的启发，我们构建了一个遵循类似局部单向耦合相互作用机制的 Kuramoto 振子模型。在公交环线系统中，我们可以引入禁止上车策略作为一种踢力形式，以实现稳定的交错（反聚集）状态。对于 Kuramoto 振子，结果表明若振子数量至少为五个，则这种稳定的反聚集状态可以存在（无需任何额外踢力）。公交环线系统与局部单向 Kuramoto 振子之间的这种对应关系，为公交环线系统如何保持交错提供了见解。
引用
@article{arxiv.1912.06470,
title = {Stability of anti-bunched buses and local unidirectional Kuramoto oscillators},
author = {Lock Yue Chew and Vee-Liem Saw and Yi En Ian Pang},
journal= {arXiv preprint arXiv:1912.06470},
year = {2019}
}
备注
19 pages, 4 figures, 2 videos (https://www.youtube.com/playlist?list=PLZIj25fISvwOALT0PADz_LiH0YbgKMkBz). This work was presented at the 15th International Conference on Dynamical Systems - Theory and Application in {\L}\'od\'z, Poland (2nd to 5th of December, 2019), under the special session dedicated to Prof Miguel A.F. Sanju\'an on the occasion of the celebration of his 60th anniversary