Title :
On the Application of the Describing Function Technique to the Bifurcation Analysis of Nonlinear Systems
Author :
Lanza, Valentina ; Bonnin, Michele ; Gilli, Marco
Author_Institution :
Dept. of Electron., Politecnico di Torino
fDate :
4/1/2007 12:00:00 AM
Abstract :
Spectral techniques, like harmonic balance, are classical numerical tools for designing nonlinear oscillators and microwave circuits. Recently these techniques have been exploited for investigating complex dynamics in nonlinear systems. In this manuscript we firstly show that limit cycle Floquet´s multipliers and the related bifurcation phenomena can be estimated through a spectral approach, entirely based on the describing function technique. Then we consider some significant case studies, and we show that our method yields more accurate results than the other describing function-based approaches proposed in the literature
Keywords :
bifurcation; describing functions; nonlinear dynamical systems; spectral analysis; bifurcation analysis; describing function technique; limit cycle Floquet multiplier; nonlinear systems; spectral techniques; Bifurcation; Harmonic analysis; Limit-cycles; Microwave circuits; Microwave oscillators; Microwave theory and techniques; Nonlinear circuits; Nonlinear equations; Nonlinear systems; Steady-state; Bifurcation; describing function; limit cycles; nonlinear systems;
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2006.890406