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Nonlinear Oscillations in the Clock Frequency Generator Excited by a Sequence of Concentrated Electrostatic Pulses Coordinated with the Oscillations. / Fadeev, S. I.

In: Journal of Applied and Industrial Mathematics, Vol. 14, No. 3, 01.08.2020, p. 443-455.

Research output: Contribution to journal › Article › peer-review

Harvard

Fadeev, SI 2020, 'Nonlinear Oscillations in the Clock Frequency Generator Excited by a Sequence of Concentrated Electrostatic Pulses Coordinated with the Oscillations', Journal of Applied and Industrial Mathematics, vol. 14, no. 3, pp. 443-455. https://doi.org/10.1134/S1990478920030047

APA

Fadeev, S. I. (2020). Nonlinear Oscillations in the Clock Frequency Generator Excited by a Sequence of Concentrated Electrostatic Pulses Coordinated with the Oscillations. Journal of Applied and Industrial Mathematics, 14(3), 443-455. https://doi.org/10.1134/S1990478920030047

Vancouver

Fadeev SI. Nonlinear Oscillations in the Clock Frequency Generator Excited by a Sequence of Concentrated Electrostatic Pulses Coordinated with the Oscillations. Journal of Applied and Industrial Mathematics. 2020 Aug 1;14(3):443-455. doi: 10.1134/S1990478920030047

Author

Fadeev, S. I. / Nonlinear Oscillations in the Clock Frequency Generator Excited by a Sequence of Concentrated Electrostatic Pulses Coordinated with the Oscillations. In: Journal of Applied and Industrial Mathematics. 2020 ; Vol. 14, No. 3. pp. 443-455.

BibTeX

@article{226e631b72cf4dafab534a0c36c0a5c1,
title = "Nonlinear Oscillations in the Clock Frequency Generator Excited by a Sequence of Concentrated Electrostatic Pulses Coordinated with the Oscillations",
abstract = "Under consideration is the mathematical model of a clock frequency generator in whichsome high-frequency oscillations of a movable electrode are excited by a sequence of concentratedelectrostatic pulses; wherein the times of pulse action are coordinated with the oscillations of themovable electrode by analogy with the well-known theory of a trigger clock. The results ofstudying the mathematical model provide a fairly complete understanding of the properties of theoscillations that are excited in the generator.",
keywords = "boundary value problem, continuation of a solution with respect to a parameter, frequency generator, limit cycle, mathematical model, periodic oscillations, phase plane, stability",
author = "Fadeev, {S. I.}",
note = "Funding Information: 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). ACKNOWLEDGMENTS Publisher Copyright: {\textcopyright} 2020, Pleiades Publishing, Ltd. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",
year = "2020",
month = aug,
day = "1",
doi = "10.1134/S1990478920030047",
language = "English",
volume = "14",
pages = "443--455",
journal = "Journal of Applied and Industrial Mathematics",
issn = "1990-4789",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "3",

}

RIS

TY - JOUR

T1 - Nonlinear Oscillations in the Clock Frequency Generator Excited by a Sequence of Concentrated Electrostatic Pulses Coordinated with the Oscillations

AU - Fadeev, S. I.

N1 - Funding Information: 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). ACKNOWLEDGMENTS Publisher Copyright: © 2020, Pleiades Publishing, Ltd. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2020/8/1

Y1 - 2020/8/1

N2 - Under consideration is the mathematical model of a clock frequency generator in whichsome high-frequency oscillations of a movable electrode are excited by a sequence of concentratedelectrostatic pulses; wherein the times of pulse action are coordinated with the oscillations of themovable electrode by analogy with the well-known theory of a trigger clock. The results ofstudying the mathematical model provide a fairly complete understanding of the properties of theoscillations that are excited in the generator.

AB - Under consideration is the mathematical model of a clock frequency generator in whichsome high-frequency oscillations of a movable electrode are excited by a sequence of concentratedelectrostatic pulses; wherein the times of pulse action are coordinated with the oscillations of themovable electrode by analogy with the well-known theory of a trigger clock. The results ofstudying the mathematical model provide a fairly complete understanding of the properties of theoscillations that are excited in the generator.

KW - boundary value problem

KW - continuation of a solution with respect to a parameter

KW - frequency generator

KW - limit cycle

KW - mathematical model

KW - periodic oscillations

KW - phase plane

KW - stability

UR - http://www.scopus.com/inward/record.url?scp=85094653437&partnerID=8YFLogxK

U2 - 10.1134/S1990478920030047

DO - 10.1134/S1990478920030047

M3 - Article

AN - SCOPUS:85094653437

VL - 14

SP - 443

EP - 455

JO - Journal of Applied and Industrial Mathematics

JF - Journal of Applied and Industrial Mathematics

SN - 1990-4789

IS - 3

ER -

ID: 26006821