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Phase synchronization: Theory and applications

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Abstract

The state-of-the-art of the phase synchronization theory was reviewed. Consideration was given to its applications to the synchronous and induction electrical motors, phase locked loops, and autosynchronization of the unbalanced rotors. The Yakubovich-Kalman frequency theorem was widely used to study the phase synchronization systems for global stability.

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  1. St. Petersburg State University, St. Petersburg, Russia

    G. A. Leonov

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Original Russian Text © G.A. Leonov, 2006, published in Avtomatika i Telemekhanika, 2006, No. 10, pp. 47–85.

This work was supported by the Russian Foundation for Basic Research, project no. 04-01-00250A, and Program of the Russia-Netherlands Cooperation NWO-RFFI no. 047.011.2004.004.

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Leonov, G.A. Phase synchronization: Theory and applications. Autom Remote Control 67, 1573–1609 (2006). https://doi.org/10.1134/S0005117906100031

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