Abstract
Under consideration is the mathematical model of a clock frequency generator in which some high-frequency oscillations of a movable electrode are excited by a sequence of concentrated electrostatic pulses; wherein the times of pulse action are coordinated with the oscillations of the movable electrode by analogy with the well-known theory of a trigger clock. The results of studying the mathematical model provide a fairly complete understanding of the properties of the oscillations that are excited in the generator.
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ACKNOWLEDGMENTS
The author is grateful to E. G. Kostsov and A. A. Sokolov for effective discussions of the mathematical model of a generator.
Funding
The author was supported by the State Task to the Sobolev Institute of Mathematics (project no. 0314–2019–0013) and by the Complex Program of Basic Research of the Siberian Branch of the Russian Academy of Sciences “Interdisciplinary Integration Studies,” 2018–2020 (project no. 273).
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Translated by L.B. Vertgeim
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Fadeev, S.I. Nonlinear Oscillations in the Clock Frequency Generator Excited by a Sequence of Concentrated Electrostatic Pulses Coordinated with the Oscillations. J. Appl. Ind. Math. 14, 443–455 (2020). https://doi.org/10.1134/S1990478920030047
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DOI: https://doi.org/10.1134/S1990478920030047