Vibrational and Ghost-Vibrational Resonances in A Modified Chua's Circuit Model Equation

摘要

The role of the number of breakpoints $N$ in the sawtooth form of thecharacteristic function in the modified Chua's circuit model equation onvibrational and ghost-vibrational resonances is investigated in this paper. Toobserve vibrational resonance the system should be driven by two periodicforces of frequencies $\omega$ and $\Omega$, with $\Omega\gg\omega$. Resonanceoccurs at the frequency $\omega$ when the amplitude of the high-frequency forceis varied. When the system is subjected to an input signal containingmulti-frequencies which are higher-order of a certain (missing) fundamentalfrequency, then a resonance at the missing fundamental frequency is induced bythe high-frequency input signal and is called ghost-vibrational resonance. Inboth types of resonances, the number of resonances is $N$ and hysteresis occursin each resonance region. There are some similarities and differences in thesetwo resonance phenomena. We report in detail the influence of the role ofnumber of breakpoints $N$ on the features of vibrational and ghost-vibrationalresonances.