Abstract The internal resonance of electrostatically coupled cubic nonlinear low-frequency micro-resonator and linear high-frequency micro-resonator is investigated experimentally. A phenomenon of frequency locking is observed at 1:3 frequency ratio of two resonators for the first time when the coupling strength exceeds a certain value. Then the theoretical study is made to explain the frequency locking phenomenon. Finally, this phenomenon is used to enhance the short-time frequency stability of low-frequency resonator nearly 7-fold.

中文翻译：

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频率比为 1:3 的两个静电耦合微谐振器的内部谐振中的频率锁定

摘要 对静电耦合三次非线性低频微谐振器和线性高频微谐振器的内谐振进行了实验研究。当耦合强度超过一定值时，首次在两个谐振器的频率比为1:3时观察到锁频现象。然后对锁频现象进行理论研究。最后，利用这一现象将低频谐振器的短时频率稳定性提高了近 7 倍。