This framework reveals bifurcations to synchrony in large Kuramoto networks, indicating new patterns of collective oscillations.
Key Points
Synchronous solutions to Kuramoto models can be analyzed using a mean-field model based on graphons, revealing critical insights.
The study identifies that bifurcations to synchrony can arise from complex interactions in random Kuramoto networks, showing patterns of hyperbolic synchrony.
Application to Erdős–Rényi networks demonstrates that not all synchrony bifurcations occur through standard co-dimension one transitions.
This research enhances the understanding of collective oscillations and their implications across various scientific fields.