Abstract
This paper is devoted to the analysis of frequency-phase locked loop systems (FPLL). The mathematical model of such systems is a system of differential equations with a cylindrical phase space. For FPLL systems, we obtain conditions of latent synchronization.
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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 168, Proceedings of the International Conference “Geometric Methods in the Control Theory and Mathematical Physics” Dedicated to the 70th Anniversary of Prof. S. L. Atanasyan, 70th Anniversary of Prof. I. S. Krasil’shchik, 70th Anniversary of Prof. A. V. Samokhin, and 80th Anniversary of Prof. V. T. Fomenko. Ryazan State University named for S. Yesenin, Ryazan, September 25–28, 2018. Part I, 2019.
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Mamonov, S.S., Ionova, I.V. & Kharlamova, A.O. Hidden Synchronization in Phase Locked Loop Systems. J Math Sci 262, 835–843 (2022). https://doi.org/10.1007/s10958-022-05862-4
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DOI: https://doi.org/10.1007/s10958-022-05862-4
Keywords and phrases
- latent synchronization
- frequency-phase locked loop
- limit cycle of the first kind
- quasisynchronous mode
- beat mode
- positively invariant set
- rotation of a vector field