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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive

Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2018 Volume 148, Pages 101–108 (Mi into308)

This article is cited in 2 papers

Asynchronous Modes of Phase Systems

A. O. Kharlamova

Ryazan State University S. A. Esenin

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.

UDC: 517.925.51

MSC: 34K05, 34K13, 34K60


 English version:
Journal of Mathematical Sciences (New York), 2020, 248:4, 476–483

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© Steklov Math. Inst. of RAS, 2024