Analysis of a hysteretic oscillator through a mixed time-frequency domain approach

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 the 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.