LiNbO_3：一种新的非线性微机电器件动力学机制
The Librator: A new dynamical regime for nonlinear microelectromechanical devices
摘要：
我们提出了一种新的操作模式的达芬型非线性微机电（MEMS）器件，从而产生一个自我维持的多频输出。这种新的librator机制围绕动态固定点（即围绕旋转框架内的固定点）创建极限环，而传统的振荡器围绕静态固定点生成极限环。由此产生的librator极限环不改变旋转标架相空间的全局拓扑结构，而是受其约束。由于Duffing非线性，在同一相空间中可能产生不同类型的极限环，每种极限环具有不同的动力学特征。这些极限环之间的过渡需要交叉同宿分支，这是在不产生混沌的情况下完成的，因为相空间动态是二维的。这项工作开启了创建类似于振荡器网络的库网络的可能性，然而这可以在单个MEMS器件中完成。
英文摘要：
We present a novel mode of operation for Duffing-type nonlinear microelectromechanical (MEMS) devices whereby a self-sustained multi-frequency output is generated. This new librator regime creates a limit cycle around a dynamical fixed point, i.e. around fixed points within the rotating frame, whereas a traditional oscillator generates a limit cycle around a static fixed point. The librator limit cycles thus created do not change the global topology of the rotating frame phase space, but are constrained by it. Due to the Duffing nonlinearity different types of limit cycles may be generated within the same phase space, with each type possessing distinct dynamical features. Transitioning between these limit cycles requires crossing homoclinic bifurcations, which is done without generating chaos as the phase space dynamics are two dimensional. This work opens the possibility to the creation of a librator network in analogy with oscillator network, however this can be done in a single MEMS device.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
