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
         
        
        
        
        
            fDate : 
8/1/1999 12:00:00 AM
         
        
        
        
            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;
         
        
        
            Journal_Title : 
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on