DocumentCode
1535289
Title
Analysis of stability and bifurcations of limit cycles in Chua´s circuit through the harmonic-balance approach
Author
Bonani, Fabrizio ; Gilli, Marco
Author_Institution
Dipt. di Elettronica, Politecnico di Torino, Italy
Volume
46
Issue
8
fYear
1999
fDate
8/1/1999 12:00:00 AM
Firstpage
881
Lastpage
890
Abstract
This paper presents a spectral approach, based on the harmonic-balance technique, for detecting limit-cycle bifurcations in complex nonlinear circuits. The key step of the proposed approach is a method for a simple and effective computation of the Floquet multipliers (FMs) that yield stability and bifurcation conditions. As a case-study, a quite complex system, Chua´s circuit, is considered. It is shown that the spectral approach is able to accurately evaluate the most significant bifurcation curves
Keywords
Chua´s circuit; bifurcation; circuit stability; harmonic analysis; limit cycles; nonlinear network analysis; Chua´s circuit; Floquet multiplier; bifurcation; harmonic balance technique; limit cycle; nonlinear circuit; spectral analysis; stability; Bifurcation; Circuit stability; Equations; Frequency domain analysis; Harmonic analysis; Limit-cycles; Microwave oscillators; Nonlinear circuits; Nonlinear systems; Stability analysis;
fLanguage
English
Journal_Title
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
Publisher
ieee
ISSN
1057-7122
Type
jour
DOI
10.1109/81.780370
Filename
780370
Link To Document