Title :
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
fDate :
7/1/1993 12:00:00 AM
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;
Journal_Title :
Microwave and Guided Wave Letters, IEEE
