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

S. I. Fadeev

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)443-455
Number of pages13
JournalJournal of Applied and Industrial Mathematics
Volume14
Issue number3
DOIs
Publication statusPublished - 1 Aug 2020

Keywords

  • boundary value problem
  • continuation of a solution with respect to a parameter
  • frequency generator
  • limit cycle
  • mathematical model
  • periodic oscillations
  • phase plane
  • stability

OECD FOS+WOS

  • 1.01 MATHEMATICS

Fingerprint

Dive into the research topics of 'Nonlinear Oscillations in the Clock Frequency Generator Excited by a Sequence of Concentrated Electrostatic Pulses Coordinated with the Oscillations'. Together they form a unique fingerprint.

Cite this