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Connecting Hodge and Sakaguchi-Kuramoto through a mathematical framework for coupled oscillators on simplicial complexes

Mathematics

Connecting Hodge and Sakaguchi-Kuramoto through a mathematical framework for coupled oscillators on simplicial complexes

A. Arnaudon, R. L. Peach, et al.

Discover how the generalized Sakaguchi-Kuramoto model on weighted simplicial complexes, conducted by Alexis Arnaudon and colleagues, unveils complex dynamics and partial synchronization loss in Hodge subspaces. This innovative research extends higher-order interactions in mathematical modeling, promising new insights into synchronization phenomena.

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