DocumentCode
1051762
Title
Computations of limit cycles via higher-order harmonic balance approximation
Author
Moiola, Jorge ; Chen, Guanrong
Author_Institution
Departamento de Ing. Electrica, Univ. Nacional del Sur, Babia Blanca, Argentina
Volume
38
Issue
5
fYear
1993
fDate
5/1/1993 12:00:00 AM
Firstpage
782
Lastpage
790
Abstract
The detection of limit cycles arising from Hopf bifurcation phenomena by applying the harmonic balance method with different higher-order approximations is discussed. The results are presented using a graphical procedure that indicates clearly how the predictions of amplitude and frequency of a periodic solution can be improved by using higher and higher order approximations. Complete and explicit formulas for eighth-order harmonic balance approximation are provided
Keywords
bifurcation; limit cycles; stability; Hopf bifurcation phenomena; amplitude; frequency; higher-order harmonic balance approximation; limit cycles; periodic solution; Bifurcation; Differential equations; Eigenvalues and eigenfunctions; Feedback; Frequency; Jacobian matrices; Laplace equations; Limit-cycles; Steady-state; Vectors;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.277247
Filename
277247
Link To Document