A Mixed Time-Frequency Domain Approach for the Qualitative Analysis of an Hysteretic Oscillator

Chris Taillefer,M. Bonnin, M. Gilli and P. P. Civalleri,
Department of Electronics, Politecnico di Torino, Torino, Italy

DOI: 10.36724/2664-066X-2021-7-4-26-29

SYNCHROINFO JOURNAL. Volume 7, Number 4 (2021). P. 26-29.


Frequency domain techniques, like harmonic balance and describing function, are classical methods for studying and designing electronic oscillators and nonlinear microwave circuits. In most applications spectral techniques have been used for determining the steady-state behavior of nonlinear circuits that exhibit a single periodic attractor. On the other hand, the global dynamics of nonlinear networks and systems is usually investigated through time-domain techniques, that require to introduce rather complex and sophisticated concepts. Recently some HB based techniques have been proposed for investigating bifurcation processes in nonlinear circuits that present several attractors (the authors have considered systems that admits of a Lur’e representation). Their approach presents the advantages of providing a simple and qualitative description of the system dynamics, that can be effectively exploited for design purposes. In this manuscript we will examine a third order hysteretic oscillator, that cannot be described in the classical Lur’e form and we will show that its dynamics can be investigated through the joint application of the describing function technique and of a suitable time-domain method for estimating Floquet’s multipliers.

KeywordsHysteretic Oscillator, Frequency domain techniques, Floquet’s multipliers.


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