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Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
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Connection between integrability in Kuramoto model and information geometry A. A. Aleksandrovab a Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow b Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow Region |
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Abstract: Kuramoto model is the simplest model that describes many-body synchronization phenomenon. We discuss the synchronization transition in the model defined on a complete graph and show that this transition can be treated in terms of information geometry. This description allows to connect results obtained for the continuum limit of model and results related to existence of integral of motion in the model with finite number of degrees of freedom. |
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