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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Fisher information of the Kuramoto model: A geometric reading on synchronization

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da Silva, V. B. [1] ; Vieira, J. P. [2] ; Leonel, Edson D. [1]
Total Authors: 3
[1] Univ Estadual Paulista, Dept Phys, Campus Rio Claro, BR-13506900 Sao Paulo - Brazil
[2] Univ Estadual Paulista, Dept Math, Campus Rio Claro, BR-13506900 Sao Paulo - Brazil
Total Affiliations: 2
Document type: Journal article
Web of Science Citations: 0

In this paper, we make a geometric investigation of the synchronization described by the Kuramoto model. The model consists of two-coupled oscillators with distinct frequencies, phase X, coupling strength K, and control parameter M. Here, we use information theory to derive the Riemannian metric and the curvature scalar as a new attempt to obtain information from the phenomenon of synchronization. The components of the metric are represented by second moments of stochastic variables. The scalar curvature R is a function of the second and third moments. It is found that the emergence of synchronization is associated with the divergence of curvature scalar. Nearby the phase transition from incoherence to synchronization, the following scaling law holds R similar to (M - M-C)(-2). Critical exponents and scaling relations are assigned through standard scaling assumptions. The method presented here is general extendable to physical systems in nonlinear sciences, including those who possess normal forms and critical points. (C) 2021 Elsevier B.V. All rights reserved. (AU)

FAPESP's process: 19/14038-6 - Investigation of dynamical properties in nonlinear systems
Grantee:Edson Denis Leonel
Support Opportunities: Regular Research Grants