Mixed sign interactions in the 1D swarmalator model

Bailin Hao, Maiying Zhong,Kevin O’Keeffe

arXiv (Cornell University)(2023)

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摘要
We study a population of swarmalators, mobile variants of phase oscillators, which run on a ring and have mixed sign interactions. This 1D swarmalator model produces several of collective states: the standard sync and async states as well as a novel splay-like "polarized" state and several unsteady states such as active bands or swirling. The model's simplicity allows us to describe some of the states analytically. The model can be considered as a toy model for real-world swarmalators such as vinegar eels and sperm which swarm in quasi-1D geometries.
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关键词
1d swarmalator model,mixed sign interactions
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