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math.AG2022
On the typical and atypical solutions to the Kuramoto equations
Tianran Chen, Evgeniia Korchevskaia, Julia Lindberg
The Kuramoto model is a dynamical system that models the interaction of coupled oscillators. There has been much work to effectively bound the number of equilibria to the Kuramoto…
math.AG2019
On the root count of algebraic Kuramoto equations in cycle networks with uniform coupling
Tianran Chen, Evgeniia Korchevskaia
The Kuramoto model is a classical model used in the study of spontaneous synchronizations in networks of coupled oscillators. In this model, frequency synchronization configuration…