Mode Analysis of a Two-Dimensional Low-Pass Multimode Oscillator

Tetsuro Endo; Shinsaku Mori

doi:10.1109/TCS.1976.1084257

Mode Analysis of a Two-Dimensional Low-Pass Multimode Oscillator

Tetsuro Endo, Shinsaku Mori

Department of Electronics and Bioinformatics

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47 Citations (Scopus)

Abstract

The multimode oscillator properties of a square array of van der Pol oscillators coupled by inductances are analyzed in the quasi-harmonic approximation. The criteria for discriminating the stability of single, nonresonant double, and degenerate modes are shown. Two fundamental techniques are employed in the analysis. One is the equivalent-linearization technique developed by Kryloff and Bogoliuboff. The other is mode analysis. The analytical and experimental results for a (3 × 4)-section array are discussed as an example of the method.

Original language	English
Pages (from-to)	517-530
Number of pages	14
Journal	IEEE Transactions on Circuits and Systems
Volume	23
Issue number	9
DOIs	https://doi.org/10.1109/TCS.1976.1084257
Publication status	Published - Sep 1976

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abstract = "The multimode oscillator properties of a square array of van der Pol oscillators coupled by inductances are analyzed in the quasi-harmonic approximation. The criteria for discriminating the stability of single, nonresonant double, and degenerate modes are shown. Two fundamental techniques are employed in the analysis. One is the equivalent-linearization technique developed by Kryloff and Bogoliuboff. The other is mode analysis. The analytical and experimental results for a (3 × 4)-section array are discussed as an example of the method.",

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AB - The multimode oscillator properties of a square array of van der Pol oscillators coupled by inductances are analyzed in the quasi-harmonic approximation. The criteria for discriminating the stability of single, nonresonant double, and degenerate modes are shown. Two fundamental techniques are employed in the analysis. One is the equivalent-linearization technique developed by Kryloff and Bogoliuboff. The other is mode analysis. The analytical and experimental results for a (3 × 4)-section array are discussed as an example of the method.

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Mode Analysis of a Two-Dimensional Low-Pass Multimode Oscillator

Abstract

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