Which coupling functions should you use in your higher-order Kuramoto model? Symmetries will tell you!
"Symmetry-based selection rules for higher-order interactions in coupled oscillators" preprint now out.
Preprint: arxiv.org/abs/2606.04904
Code: tiny.cc/60l4101
w/ I. Léon, R. Muolo, Y. Zhang
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Amazing!
Congrats to @lordgrilo.bsky.social @maximelca.bsky.social Alaa Maalouf, Joseph DelPreto, and all the authors
www.science.org/doi/10.1126/...
We quantitatively document a sperm whale birth event, revealing collective support behaviors across kinship lines. Using high-resolution drone footage, computer vision, and multiscale network analysis...
New PhD position open in the lab. Details here:
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7. The beauty of these rules is that they apply to interactions of any sizes, or mix of sizes.
And they tell us which phase models to use to represent a given nonlinear system, based on symmetry, without performing phase reduction.