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.

Cet article explore les excursions dans le temps et leurs implications.

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