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arXiv · 2108.06901

Collective behaviour of swarmalators on a 1D ring

Kevin O'Keeffe·Steven Ceron·Kirstin Petersen
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Abstract

We study the collective behavior of swarmalators, generalizations of phase oscillators that both sync and swarm, confined to move on a 1D ring. This simple model captures some of the essence of movement in 2D or 3D but has the benefit of being solvable: most of the collective states and their bifurcations can be specified exactly. The model also captures the behavior of real-world swarmalators which swarm in quasi-1D rings such as bordertaxic sperm and vinegar eels.

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Kevin O'Keeffe, Steven Ceron, Kirstin Petersen. 2021-08-16. Collective behaviour of swarmalators on a 1D ring. https://doi.org/10.1103/physreve.105.014211

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