A TWO-DIMENSIONAL SWARMALATOR MODEL WITH HIGHER-ORDER INTERACTIONS

Authors

• Sayeed Anwar, Indian Statistical Institute, Kolkata
• Gourab Kumar Sar, Indian Statistical Institute, Kolkata
• Timoteo Carletti, Namur Institute for Complex Systems
• Dibakar Ghosh

Article Type

Research Article

Publication Title

SIAM Journal on Applied Mathematics

Abstract

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.

First Page

1475

Last Page

1499

DOI

10.1137/24M1707912

Publication Date

1-1-2025

Recommended Citation

Anwar, Sayeed; Sar, Gourab Kumar; Carletti, Timoteo; and Ghosh, Dibakar, "A TWO-DIMENSIONAL SWARMALATOR MODEL WITH HIGHER-ORDER INTERACTIONS" (2025). Journal Articles. 5225.
https://digitalcommons.isical.ac.in/journal-articles/5225