A solvable two-dimensional swarmalator model
Swarmalators are oscillators that swarm through space as they synchronize in time. Introduced a few years ago to model many systems that mix synchrony with self-assembly, they remain poorly understood theoretically. Here, we obtain the first analytic results on swarmalators moving in two spatial dimensions by introducing a simplified model where the swarmalators have no hard-shell interaction terms and move on a periodic plane. These simplifications allow expressions for order parameters, stabilities and bifurcations to be derived exactly.
Authors
- Dibakar Ghosh (ORCID: https://orcid.org/0000-0003-4832-5210)
- Marcus A. M. de Aguiar (ORCID: https://orcid.org/0000-0003-1379-7568)
- Joao U. F. Lizárraga (ORCID: https://orcid.org/0000-0002-5408-7362)
- Kevin O’Keeffe (ORCID: https://orcid.org/0000-0002-7419-5504)
- Gourab Kumar Sar (ORCID: https://orcid.org/0000-0001-5723-4834)
- Md Sayeed Anwar (ORCID: https://orcid.org/0000-0002-3846-2601)
Institutions
- Universidade Estadual de Campinas (UNICAMP) (BR)
- Seattle University (US)
- Indian Statistical Institute (IN)
Publication Details
- Journal
- Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
- Published
- 2024-11-01
- DOI
- https://doi.org/10.1098/rspa.2024.0448
- Citations
- 12
- Primary Topic
- Nonlinear Dynamics and Pattern Formation
- Type
- article
- Field-Weighted Citation Impact
- 4.19
Funders
- Fundação de Amparo à Pesquisa do Estado de São Paulo
- Conselho Nacional de Desenvolvimento Científico e Tecnológico