A solvable two-dimensional swarmalator model

Article Type

Research Article

Publication Title

Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences

Abstract

Swarmalators are oscillators that swarm through space as they synchronize in time. Introduced a few years ago to model many systems that mix synchrony with self-assembly, they remain poorly understood theoretically. Here, we obtain the first analytic results on swarmalators moving in two spatial dimensions by introducing a simplified model where the swarmalators have no hard-shell interaction terms and move on a periodic plane. These simplifications allow expressions for order parameters, stabilities and bifurcations to be derived exactly.

DOI

10.1098/rspa.2024.0448

Publication Date

11-6-2024

Comments

Open Access; Green Open Access

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