一个修正的蔡氏电路模型方程中的振动和鬼振共振
Vibrational and Ghost-Vibrational Resonances in A Modified Chua's Circuit Model Equation
摘要：
本文研究了在振动和虚振动共振的修正蔡氏电路模型方程中，特征函数的形式中断点数$N$的作用。为了观察振动共振，系统应该由频率为$ω$和$Ω$的两个周期性力驱动，其中$Ω\ggω$。当高频力的振幅变化时，在频率$ω$下发生共振。当系统受到包含特定（缺失）基频的高阶的多个频率的输入信号时，则由高频输入信号引起缺失基频处的共振，并且该共振被称为重影振动共振。在这两种类型的谐振中，谐振的数量是$N$，并且在每个谐振区域中出现滞后。这两种共振现象既有相似之处，也有不同之处。我们详细报告的影响的断点$N$的振动和鬼振动共振的功能的数量的作用。
英文摘要：
The role of the number of breakpoints $N$ in the sawtooth form of the characteristic function in the modified Chua's circuit model equation on vibrational and ghost-vibrational resonances is investigated in this paper. To observe vibrational resonance the system should be driven by two periodic forces of frequencies $ω$ and $Ω$, with $Ω\ggω$. Resonance occurs at the frequency $ω$ when the amplitude of the high-frequency force is varied. When the system is subjected to an input signal containing multi-frequencies which are higher-order of a certain (missing) fundamental frequency, then a resonance at the missing fundamental frequency is induced by the high-frequency input signal and is called ghost-vibrational resonance. In both types of resonances, the number of resonances is $N$ and hysteresis occurs in each resonance region. There are some similarities and differences in these two resonance phenomena. We report in detail the influence of the role of number of breakpoints $N$ on the features of vibrational and ghost-vibrational resonances.
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