Multicircular static patterns in swarmalator systems: Radii and stability

Abstract

We analyze spatial patterns emerging in self-organized systems of swarmalators, focusing on constellations where all entities arrange in a sorted manner along one or more concentric circles. Key properties of these patterns are explored by computing their radii and examining stability criteria based on the number of entities and a coupling parameter. The findings can be applied to swarm robotics and other collective motion systems.