Attractive and repulsive interactions in the one-dimensional swarmalator model

Fuente: arXiv
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Autores principales: Hao, Baoli, Zhong, Ming, O'Keeffe, Kevin
Formato: Preprint
Publicado: 2023
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author Hao, Baoli
Zhong, Ming
O'Keeffe, Kevin
author_facet Hao, Baoli
Zhong, Ming
O'Keeffe, Kevin
contents We study a population of swarmalators, mobile variants of phase oscillators, which run on a ring and have both attractive and repulsive interactions. This one-dimensional (1D) swarmalator model produces several of collective states: the standard sync and async states as well as a splaylike "polarized" state and several unsteady states such as active bands or swirling. The model's simplicity allows us to describe some of the states analytically. The model can be considered as a toy model for real-world swarmalators such as vinegar eels and sperm which swarm in quasi-1D geometries.
format Preprint
id arxiv_https___arxiv_org_abs_2309_02342
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Attractive and repulsive interactions in the one-dimensional swarmalator model
Hao, Baoli
Zhong, Ming
O'Keeffe, Kevin
Dynamical Systems
We study a population of swarmalators, mobile variants of phase oscillators, which run on a ring and have both attractive and repulsive interactions. This one-dimensional (1D) swarmalator model produces several of collective states: the standard sync and async states as well as a splaylike "polarized" state and several unsteady states such as active bands or swirling. The model's simplicity allows us to describe some of the states analytically. The model can be considered as a toy model for real-world swarmalators such as vinegar eels and sperm which swarm in quasi-1D geometries.
title Attractive and repulsive interactions in the one-dimensional swarmalator model
topic Dynamical Systems
url https://arxiv.org/abs/2309.02342