Automatic detection of Hopf bifurcations on the solution path of a parametrized nonlinear circuit

Author

Rizzoli, Vittorio ; Neri, Andrea

Author_Institution

Dipartimento di Elettronica, Inf. e Sistemistica, Bologna Univ., Italy

Volume

3

Issue

7

fYear

1993

fDate

7/1/1993 12:00:00 AM

Firstpage

219

Lastpage

221

Abstract

A numerical technique for the automatic detection of Hopf bifurcations on the solution path of a continuously parametrized nonlinear circuit operating in time-periodic steady state is discussed. The algorithm is based on the piecewise harmonic-balance technique, is truly general-purpose, and can be applied to any kind of nonlinear microwave subsystem without restrictions on circuit topology and device models. This method can lead to software tools for the solution of complex CAD problems, such as the detection of spurious tones in any nonlinear circuit and the analysis of the injection locking of oscillators.<>

Keywords

bifurcation; circuit analysis computing; network topology; nonlinear network analysis; CAD problems; Hopf bifurcations; circuit topology; device models; injection locking; oscillators; parametrized nonlinear circuit; piecewise harmonic-balance technique; software tools; solution path; spurious tones; time-periodic steady state; Bifurcation; Circuit analysis; Circuit topology; Injection-locked oscillators; Microwave devices; Microwave oscillators; Microwave theory and techniques; Nonlinear circuits; Software tools; Steady-state;

fLanguage

English

Journal_Title

Microwave and Guided Wave Letters, IEEE

Publisher

ieee

ISSN

1051-8207

Type

jour

DOI

10.1109/75.222781

Filename

222781