Hidden Synchronization in Phase Locked Loop Systems

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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Bibliographic Details
Published inJournal of mathematical sciences (New York, N.Y.) Vol. 262; no. 6; pp. 835 - 843
Main Authors Mamonov, S. S., Ionova, I. V., Kharlamova, A. O.
Format Journal Article
LanguageEnglish
Published New York Springer US 16.04.2022
Springer
Springer Nature B.V
Subjects
Differential equations
Frequency analysis
Mathematics
Mathematics and Statistics
Phase locked loops
Synchronism
beat mode
rotation of a vector field
positively invariant set
34K60
latent synchronization
frequency-phase locked loop
limit cycle of the first kind
34K05
quasisynchronous mode
34K13
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ISSN1072-3374
1573-8795
DOI10.1007/s10958-022-05862-4

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Summary: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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content type line 14
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-022-05862-4