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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2018, Volume 148, Pages 101–108 (Mi into308)  
This article is cited in 2 scientific papers (total in 2 papers)

Asynchronous Modes of Phase Systems

A. O. Kharlamova

Ryazan State University S. A. Esenin
Full-text PDF (176 kB) Citations (2)
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Abstract: We consider a system of frequency-phase-locked loop whose mathematical model is described by a system of differential equations. In this paper, conditions of the existence of asynchronous modes of a phase system are obtained.
Keywords: system of differential equations, frequency ring, cycle of second kind, system of matrix equations, rotation of a vector field, trajectory shift operator, fixed point.
English version:
Journal of Mathematical Sciences (New York), 2020, Volume 248, Issue 4, Pages 476–483
DOI: https://doi.org/10.1007/s10958-020-04888-w
Bibliographic databases:
Document Type: Article
UDC: 517.925.51
MSC: 34K05, 34K13, 34K60
Language: Russian
Citation: A. O. Kharlamova, “Asynchronous Modes of Phase Systems”, Proceedings of the International Conference “Geometric Methods in Control Theory and Mathematical Physics: Differential Equations, Integrability, and Qualitative Theory,” Ryazan, September 15–18, 2016, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 148, VINITI, M., 2018, 101–108; J. Math. Sci. (N. Y.), 248:4 (2020), 476–483
Citation in format AMSBIB
\Bibitem{Kha18}
\by A.~O.~Kharlamova
\paper Asynchronous Modes of Phase Systems
\inbook Proceedings of the International Conference ``Geometric Methods in Control Theory and Mathematical Physics: Differential Equations, Integrability, and Qualitative Theory,'' Ryazan, September 15--18, 2016
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2018
\vol 148
\pages 101--108
\publ VINITI
\publaddr M.
\mathnet{http://mi.mathnet.ru/into308}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3847713}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2020
\vol 248
\issue 4
\pages 476--483
\crossref{https://doi.org/10.1007/s10958-020-04888-w}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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