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

Tetsuro Endo, Shinsaku Mori

Research output: Contribution to journalArticlepeer-review

47 Citations (Scopus)


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 languageEnglish
Pages (from-to)517-530
Number of pages14
JournalIEEE Transactions on Circuits and Systems
Issue number9
Publication statusPublished - Sep 1976


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