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Subharmonic phase‐lock criteria for a class of weakly non‐linear high‐order oscillators
Author(s) -
Calandra E. F.,
Sommariva A. M.
Publication year - 1985
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.4490130402
Subject(s) - subharmonic , waveform , mathematics , amplitude , control theory (sociology) , entrainment (biomusicology) , electronic circuit , van der pol oscillator , class (philosophy) , phase (matter) , stability (learning theory) , mathematical analysis , nonlinear system , topology (electrical circuits) , physics , computer science , quantum mechanics , acoustics , combinatorics , control (management) , voltage , artificial intelligence , machine learning , rhythm
Subharmonic frequency entrainment of high‐order weakly non‐linear oscillators is investigated. For the class of circuits considered, equations are first derived which provide the first approximation values for the amplitudes and phases of the two main spectral components of the steady‐state waveform. Necessary and sufficient stability criteria are then derived in explicit from. The example worked out (a negative conductance double‐tuned oscillator) shows the efficiency and ease of use of the proposed method.