Computations of limit cycles via higher order harmonic balance approximation

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Original languageEnglish
Pages (from-to)782-790
Journal / PublicationIEEE Transactions on Automatic Control
Issue number5
Publication statusPublished - May 1993
Externally publishedYes


We investigate the detection of limit cycles arising from Hopf bifurcation phenomena by applying the harmonic balance method with different higher order approximations. We present the results via an enlightening graphical procedure which indicates clearly how the predictions of amplitude and frequency of a periodic solution can be improved by using higher and higher order approximations. Moreover, we provide complete and explicit formulas for the eighth-order harmonic balance approximation.