Self-Switching Phenomenon of Synchronization States in Coupled Parametrically Excited LC Oscillators

In this study, we investigate synchronization phenomena in parametrically excited simple LC oscillators are coupled by a capacitor. We use parametorons that transformers have non-linear characteristics for the parametrically excited simple LC oscillators. In this system, we observe two different types of synchronization phenomena; coexistence phenomenon of in-phase synchronization and opposite-phase synchronization and self-switching of in and opposite-phases synchroniza-tions. Additionally, we also confirm that a sojourn time of the self-switching is changed by changing the amplitude of the time-varying inductor. 1