A Period-Doubling Bifurcation and a Chaotic Attractor Observed by Solving Circuit Equations from a Magnetic Frequency Tripler with Series-Connected Reactors.

In order to elucidate nonperiodic oscillations of a six-dimensional magnetic frequency tripler with series-connected reactors, we execute computer simulations by using the fourth-order Runge-Kutta method, and depict bifurcation diagrams with stroboscopic solutions every 2π rad. In a bifurcation diagram we have found a period-doubling bifurcation, and also detected a chaotic attractor of a Poincare map in a region after the period-doubling bifurcation. This paper describes a circuit for the simulations, an equation of states, a bifurcation diagram, a period-doubling bifurcation in the bifurcation diagram, a chaotic attractor, and time series for the chaotic attractor.