Time delay in the 1d swarmalator model
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2026
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866915785114386432 |
|---|---|
| author | O'Keeffe, K. P. Hindes, Jason |
| author_facet | O'Keeffe, K. P. Hindes, Jason |
| contents | We study the 1d swarmalator model augmented with time delayed coupling. Along with the familiar sync, async, and phase wave states, we find a family of unsteady states where the order parameters are time periodic, sometimes with clean oscillations, sometimes with irregular vacillations. The unsteady states are born in two ways: via a Hopf bifurcation from the phase wave, and a zero eigenvalue bifurcation from the async state. We find both of these boundary curves analytically. A surprising result is that stabilities of the async and sync states are independent of the delay τ; they depend only on the coupling strength. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_08156 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Time delay in the 1d swarmalator model O'Keeffe, K. P. Hindes, Jason Adaptation and Self-Organizing Systems Statistical Mechanics 34K20, 37N25, 92D25 We study the 1d swarmalator model augmented with time delayed coupling. Along with the familiar sync, async, and phase wave states, we find a family of unsteady states where the order parameters are time periodic, sometimes with clean oscillations, sometimes with irregular vacillations. The unsteady states are born in two ways: via a Hopf bifurcation from the phase wave, and a zero eigenvalue bifurcation from the async state. We find both of these boundary curves analytically. A surprising result is that stabilities of the async and sync states are independent of the delay τ; they depend only on the coupling strength. |
| title | Time delay in the 1d swarmalator model |
| topic | Adaptation and Self-Organizing Systems Statistical Mechanics 34K20, 37N25, 92D25 |
| url | https://arxiv.org/abs/2602.08156 |