Information geometry and synchronization phase transition in the Kuramoto model.

Alexandrov, Artem; Gorsky, Alexander · Phys Rev E · 2023

basic_science · Level V

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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.