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Information geometry and synchronization phase transition in the Kuramoto model.

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We discuss how the synchronization in the Kuramoto model can be treated in terms of information geometry. We argue that the Fisher information is sensitive to synchronization transition; specifically, components… Click to show full abstract

We discuss how the synchronization in the Kuramoto model can be treated in terms of information geometry. We argue that the Fisher information is sensitive to synchronization transition; specifically, components of the Fisher metric diverge at the critical point. Our approach is based on the recently proposed relation between the Kuramoto model and geodesics in hyperbolic space.

Keywords: kuramoto model; synchronization; information geometry; geometry

Journal Title: Physical review. E
Year Published: 2022

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