Topological transitions in swarmalators systems
Adaptation and Self-Organizing Systems
2025-11-18 v1
Abstract
After its development, the swarmalators model attracted a great deal of attention since it was found to be very suitable to reproduce several behaviors in collective dynamics. However, few works explain the transitions that are observed while varying system parameters. In this letter, we demonstrate that the changes observed in swarmalator dynamics are governed by changes in the system's topology. To provide a deeper understanding of these changes, we present a topological framework for the swarmalator system and determine the topological charge and the helicity of the corresponding topology. Investigations on synchronization and transition to synchronization are studied using this topological charge and the variance of the helicity.
Cite
@article{arxiv.2511.13490,
title = {Topological transitions in swarmalators systems},
author = {Patrick Louodop and Michael N. Jipdi and Gael R. Simo and Steve J. Kongni and Carmel Lambu and Thierry Njougouo and Pablo D. Mininni and Kevin O'Keeffe and Hilda A. Cerdeira},
journal= {arXiv preprint arXiv:2511.13490},
year = {2025}
}