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

Synchronization dynamics in the presence of higher order interactions is well represented through variations of the Kuramoto model and subject of current interest. Here, the authors study and characterize the behavior of the simplicial Kuramoto model with weights on any simplices and in the presence...

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Bibliographic Details
Main Authors: Alexis Arnaudon, Robert L. Peach, Giovanni Petri, Paul Expert
Format: Article
Language:English
Published: Nature Portfolio 2022-08-01
Series:Communications Physics
Online Access:https://doi.org/10.1038/s42005-022-00963-7