Information geometry and synchronization phase transition in Kuramoto model
arXiv:2211.15617 · doi:10.1103/PhysRevE.107.044211
Abstract
We discuss the recently proposed description of Kuramoto model in terms of hyperbolic space and relate it to the information geometry. In particular the dynamical equation in Kuramoto all-to-all model is identified with the gradient flow of the Kullback-Leibner divergence on the statistical manifold. The Fisher information metric is evaluated for the Kuramoto and Kuramoto-Shakagichi models. We argue that the components of Fisher metric diverge at the critical point hence it can be used as an alternative order parameter for the synchronization phase transition.
arXiv commentRevised version, matched with published
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