QUASI-PERIODIC OSCILLATION VIA VOLTERRA SERIES.

T. Endo, L. O. Chua

Research output: Contribution to journalConference article

7 Citations (Scopus)

Abstract

Using the Volterra series, amplitudes and frequencies of all components of simultaneous two- and three-frequency nonlinear oscillations can be calculated by solving a set of algebraic nonlinear equations. These determining equations can be generated to within any desired accuracy using higher-order Volterra kernels, which can be obtained by a recursive algorithm. This method is a natural extension of L. O. Chua and Y. S. Tang's Volterra series approach (1982) for predicting amplitudes and frequencies of single-frequency nonlinear oscillation. This method inherits many desirable features of the harmonic balance method, describing function method, and averaging method. Unlike conventional techniques, the authors' approach imposes no severe restriction on the degree of nonlinearity, the degree of the transfer function, or the amplitude of oscillation.

Original languageEnglish
Pages (from-to)57-60
Number of pages4
JournalProceedings - IEEE International Symposium on Circuits and Systems
Publication statusPublished - 1 Jan 1986

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