We study a simple two-dimensional swarmalator model that incorporates higher-order phase interactions, uncovering a diverse range of collective states. The latter include spatially coherent and gas-like configurations, neither of which appear in models with only pairwise interactions. Additionally, we discover bistability between various states, a phenomenon that arises directly from the inclusion of higher-order interactions. By analyzing several of these emergent states analytically, both for identical and nonidentical populations of swarmalators, we gain deeper insights into their underlying mechanisms and stability conditions. Our findings broaden the understanding of swarmalator dynamics and open new avenues for exploring complex collective behaviors in systems governed by higher-order interactions.
@article{arxiv.2504.16599,
title = {A two-dimensional swarmalator model with higher-order interactions},
author = {Md Sayeed Anwar and Gourab Kumar Sar and Timoteo Carletti and Dibakar Ghosh},
journal= {arXiv preprint arXiv:2504.16599},
year = {2025}
}
Comments
Accepted for publication in SIAM Journal on Applied Mathematics (2025)