Collective steady-state patterns of swarmalators with finite-cutoff interaction distance
Abstract
We study the steady-state patterns of population of the coupled oscillators that sync and swarm, where the interaction distances among oscillators have finite-cutoff in interaction distance. We examine how the static patterns known in the infinite-cutoff are reproduced or deformed, and explore a new static pattern that does not appear until a finite-cutoff is considered. All steady-state patterns of the infinite-cutoff, static sync, static async, and static phase wave are respectively repeated in space for proper finite-cutoff ranges. Their deformation in shape and density takes place for the other finite-cutoff ranges. Bar-like phase wave states are observed, which has not been the case for the infinite-cutoff. All the patterns are investigated via numerical and theoretical analysis.
Keywords
Cite
@article{arxiv.2103.11584,
title = {Collective steady-state patterns of swarmalators with finite-cutoff interaction distance},
author = {Hyun Keun Lee and Kangmo Yeo and Hyunsuk Hong},
journal= {arXiv preprint arXiv:2103.11584},
year = {2021}
}
Comments
9 pages, 8 figures