Bifurcation and Chaotic State in Forced Oscillatory Circuits Containing Saturable Inductors

Bifurcations of periodic, quasi-periodic and chaotic oscillations are most frequently observed in forced nonlinear circuits containing saturable inductors, whose dynamics are described by nonautonomous di erential equations with periodic external forcing terms. A Poincar e mapping is commonly applied to the study of the bifurcation phenomena. We present some elementary discussion of the codimension one and two bifurcations of periodic solution and give a practical method to obtain various bifurcation diagrams. As illustrated examples, we show numerical results for typical circuits.