Is the quadrature oscillator a multivibrator?

Erik Lindberg

doi:10.1109/MCD.2004.1364772(410) 20

Is the quadrature oscillator a multivibrator?

Erik Lindberg

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Abstract

The aim of this article is to give insight into the mechanisms behind the behavior of oscillators from a new angle, introducing the idea of "frozen eigenvalues". This approach is based on piecewise-linear modelling and a study of the eigenvalues of the time varying linearized Jacobian of the nonlinear differential equations describing the oscillator. A multivibrator and a quadrature oscillator are used as test examples. The mechanisms behind the oscillations of the two circuits are compared.

Original language	English
Journal	IEEE Circuits & Devices
Volume	20
Issue number	6
Pages (from-to)	23-28
ISSN	8755-3996
DOIs	https://doi.org/10.1109/MCD.2004.1364772(410) 20
Publication status	Published - 2004

Bibliographical note

Copyright: 2004 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE

Keywords

oscillators
eigenvalues

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10.1109/MCD.2004.1364772(410) 20

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Cite this

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title = "Is the quadrature oscillator a multivibrator?",

abstract = "The aim of this article is to give insight into the mechanisms behind the behavior of oscillators from a new angle, introducing the idea of {"}frozen eigenvalues{"}. This approach is based on piecewise-linear modelling and a study of the eigenvalues of the time varying linearized Jacobian of the nonlinear differential equations describing the oscillator. A multivibrator and a quadrature oscillator are used as test examples. The mechanisms behind the oscillations of the two circuits are compared.",

keywords = "oscillators, eigenvalues",

author = "Erik Lindberg",

note = "Copyright: 2004 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE",

year = "2004",

doi = "10.1109/MCD.2004.1364772(410) 20",

language = "English",

volume = "20",

pages = "23--28",

journal = "IEEE Circuits \& Devices",

issn = "8755-3996",