Swarmalators with thermal noise

H Hong, KP O'Keeffe, JS Lee, H Park - Physical Review Research, 2023 - APS
We investigate a population of swarmalators, mobile versions of phase oscillators that both
sync in time and swarm through space. We focus on an XY-type model of identical …

Swarmalators on a ring with uncorrelated pinning

GK Sar, K O'Keeffe, D Ghosh - Chaos: An Interdisciplinary Journal of …, 2023 - pubs.aip.org
We present a case study of swarmalators (mobile oscillators) that move on a 1D ring and are
subject to pinning. Previous work considered the special case where the pinning in space …

Forced one-dimensional swarmalator model

MS Anwar, D Ghosh, K O'Keeffe - Physical Review E, 2024 - APS
We study a simple model of swarmalators subject to periodic forcing and confined to moving
around a one-dimensional ring. This is a toy model for physical systems with a mix of sync …

Attractive and repulsive interactions in the one-dimensional swarmalator model

B Hao, M Zhong, K O'Keeffe - Physical Review E, 2023 - APS
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) …

Swarmalators with delayed interactions

N Blum, A Li, K O'Keeffe, O Kogan - Physical Review E, 2024 - APS
We investigate the effects of delayed interactions in a population of “swarmalators,”
generalizations of phase oscillators that both synchronize in time and swarm through space …

Fast and slow clustering dynamics of Cucker–Smale ensemble with internal oscillatory phases

SY Ha, J Kim, J Park - Mathematical Models and Methods in Applied …, 2023 - World Scientific
We study fast and slow clustering dynamics of Cucker–Smale ensemble with internal phase
dynamics via the Cucker–Smale–Kuramoto (in short, CSK) model. The CSK model …

Topological travelling waves of a macroscopic swarmalator model in confined geometries

P Degond, A Diez - Acta Applicandae Mathematicae, 2023 - Springer
We investigate a new class of topological travelling-wave solutions for a macroscopic
swarmalator model involving force non-reciprocity. Swarmalators are systems of self …

Mixed sign interactions in the 1D swarmalator model

B Hao, M Zhong, K O'Keeffe - arXiv preprint arXiv:2309.02342, 2023 - arxiv.org
We study a population of swarmalators, mobile variants of phase oscillators, which run on a
ring and have mixed sign interactions. This 1D swarmalator model produces several of …

[HTML][HTML] Delayed loss of stability of periodic travelling waves: Insights from the analysis of essential spectra

L Eigentler, M Sensi - Journal of Theoretical Biology, 2024 - Elsevier
Periodic travelling waves (PTW) are a common solution type of partial differential equations.
Such models exhibit multistability of PTWs, typically visualised through the Busse balloon …

Global synchronization theorem for coupled swarmalators

KP O'Keeffe - arXiv preprint arXiv:2410.18011, 2024 - arxiv.org
The global stability of oscillator networks has attracted much recent attention. Ordinarily, the
oscillators in such studies are motionless; their spatial degrees of freedom are either ignored …