论文标题
参数驱动的振荡器对小添加的AC激发的频率轰击响应
Frequency-comb response of a parametrically-driven Duffing oscillator to a small added ac excitation
论文作者
论文摘要
在这里，我们提出了一个非线性参数驱动的谐振器的一级模型，该模型在存在的小添加AC信号的情况下，其光谱响应类似于频率梳子。所提出的非线性谐振器具有扩散频谱响应，一系列狭窄的峰在频率上均等。在参数不稳定性开始时，系统最强烈地显示了对称性分叉后的行为。我们进一步表明，添加的AC信号可以抑制非线性振荡器中参数不稳定性的过渡。我们还表明，平均方法能够捕获所涉及的基本动力。
Here we present a one-degree-of-freedom model of a nonlinear parametrically-driven resonator in the presence of a small added ac signal that has spectral responses similar to a frequency comb. The proposed nonlinear resonator has a spread spectrum response with a series of narrow peaks that are equally spaced in frequency. The system displays this behavior most strongly after a symmetry-breaking bifurcation at the onset of parametric instability. We further show that the added ac signal can suppress the transition to parametric instability in the nonlinear oscillator. We also show that the averaging method is able to capture the essential dynamics involved.
