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 :
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