A 1D swarmalator model with van Hemmen disorder splits static states into sync/split/splay/phase-wave branches via rainbow and glass order parameters, produces new active states (bursty async, rotating glassy phase wave), and yields exact reductions and boundaries for balanced sign patterns.
O’Keeffe, arXiv:2603.12531 (2026)
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In the 1D swarmalator model with uniform coupling disorder, a coupling-split cluster emerges with order parameter fixed by positive-coupling excess, alongside altered stability of async, sync, and phase-wave states including a Bogdanov-Takens point.
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Van Hemmen interactions in a one-dimensional swarmalator model
A 1D swarmalator model with van Hemmen disorder splits static states into sync/split/splay/phase-wave branches via rainbow and glass order parameters, produces new active states (bursty async, rotating glassy phase wave), and yields exact reductions and boundaries for balanced sign patterns.
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Coupling-split clusters in a swarmalator model with uniform coupling disorder
In the 1D swarmalator model with uniform coupling disorder, a coupling-split cluster emerges with order parameter fixed by positive-coupling excess, alongside altered stability of async, sync, and phase-wave states including a Bogdanov-Takens point.