Title :
A mixed time-frequency-domain approach for the analysis of a hysteretic oscillator
Author :
Bonnin, Michele ; Gilli, Marco ; Civalleri, Pier Paolo
Author_Institution :
Dept. of Electron., Politecnico di Torino, Italy
Abstract :
The global dynamic behavior of a hysteretic oscillator is investigated. It is shown that the most significant bifurcation phenomena can be accurately detected through the joint application of two frequency-domain techniques, i.e., describing function and harmonic balance, and of a suitable time-domain method for computing limit-cycle Floquet´s multipliers. The proposed approach can be effectively applied for investigating nonlinear oscillators and circuits that do not admit of a simple Lur´e representation and that exhibit a complex dynamic behavior.
Keywords :
bifurcation; harmonics; hysteresis; nonlinear network analysis; oscillators; time-frequency analysis; Floquet multipliers; bifurcation phenomena; frequency-domain techniques; harmonic balance; hysteresis; hysteretic oscillator analysis; nonlinear circuits; nonlinear oscillators; time-domain method; Bifurcation; Chaos; Equations; Frequency domain analysis; Hysteresis; Limit-cycles; Microwave oscillators; Microwave theory and techniques; Nonlinear circuits; Time domain analysis; Bifurcation; describing functions; harmonic balance (HB); hysteresis; nonlinear circuits;
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2005.850518
