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Basic bifurcation analysis of a hysteresis oscillator
Author(s) -
Storace Marco,
Bizzarri Federico
Publication year - 2001
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.154
Subject(s) - bifurcation , hysteresis , piecewise linear function , control theory (sociology) , network analysis , piecewise , computer science , mathematics , topology (electrical circuits) , nonlinear system , mathematical analysis , engineering , physics , electrical engineering , artificial intelligence , control (management) , quantum mechanics , combinatorics
This paper carries out a basic bifurcation analysis of a ‘smooth’ version of a recently proposed piecewise‐linear oscillator based on hysteresis. The analysis is made referring mainly to two circuit parameters particularly easy to vary in a laboratory implementation of the circuit. By resorting to both analytical and numerical analyses, some local and global bifurcations of the dynamics of the oscillator are pointed out. The reported results completely agree with PSPICE simulations and experimental measures. Copyright © 2001 John Wiley & Sons, Ltd.