Proceeding of International Conference
Yuu Miino, Tetsushi Ueta, Hiroshi Kawakami, Bifurcations in a sinusoidally driven LCR circuit with a hysteresis, Proc. NOLTA 2018, 247-250, Tarragona, Spain, Sep. 2018.
Abstract: We investigate a driven LCR circuit with ahysteresis. We describe the circuit by a hybrid dynamicalsystem. The coil is modeled by a piecewise linear hysteresis, and the changes of the condition of the coil (magnetizedor not) are described by a finite state machine. We computelocal bifurcations accurately by taking a suitable Poincaremapping. Appearance patterns of the tangent and grazingbifurcations characterize this model.