Multijump Resonance with Chua's Circuit

Abstract

In this paper the existence of multijump resonance is described for the driven Chua circuit. Multijump resonance is a phenomenon observable in driven nonlinear systems which leads to a multi-valued frequency response, showing several hysteresis windows with respect to the increase/decrease of the driving frequency. The phenomenon is here investigated in order to characterize its onset as a function of system parameter values. Finally, a physical implementation of the driven Chua circuit, in which jump and multijump resonance occur, is presented and discussed allowing to verify the robustness of such nonlinear phenomenon.