Analysis of a ferroresonant circuit with chaotic behavior by means of a Chua-type magnetization model

This paper studies the chaotic behavior of a series ferroresonant circuit. At first, we derive a state variable equation containing a nonlinear hysteretic circuit element represented by a Chua-type magnetization model. Second, the backward Euler method with automatic modification gives transient response of the state variable equation. The characteristic values of the state transition matrix are calculated in each calculation step of Euler method. Finally, it is clarified that the characteristic values trace on the same loci although the chaotic phenomenon is exhibiting. Index Terms--Chaotic phenomenon, Chua-type magnetization model, nonlinear calculation, series ferroresonant circuit.