论文标题
参数激发引起MEMS和LIENARD振荡器中的极端事件
Parametric excitation induced extreme events in MEMS and Lienard oscillator
论文作者
论文摘要
研究了具有参数激发的两个范式非线性振荡模型。作者为这些系统中极端事件（EES）的出现提供了理论证据。首先，作者考虑了一个众所周知的Lienard型振荡器，该振荡器通过两种分叉途径显示了EE的出现：激发频率的两个不同临界值的间歇性和周期倍途径。作者还计算两个连续的EE的返回时间，定义为遵循泊松分布的事件间间隔，确认了事件的稀有性。此外，估计Lienard振荡器的总能量可以解释EES发展的机制。接下来，作者证实了EES在参数激发的微电力系统中的出现。在该模型中，由于系统不连续边界附近的粘摩滑分叉出现而发生。由于在几种现实世界工程模型（如宏观和微机械振荡器）中遇到了参数激发，因此本文所呈现的结果的含义可能有益于理解此类振荡系统中EES的发展。
The two paradigmatic nonlinear oscillatory models with parametric excitation are studied. The authors provide theoretical evidence for the appearance of extreme events (EEs) in those systems. First, the authors consider a well known Lienard type oscillator that shows the emergence of EEs via two bifurcation routes: Intermittency and period-doubling routes for two different critical values of the excitation frequency. The authors also calculate the return time of two successive EEs, defined as inter-event intervals, that follow Poisson-like distribution, confirm the rarity of the events. Further, the total energy of the Lienard oscillator is estimated to explain the mechanism for the development of EEs. Next, the authors confirmed the emergence of EEs in a parametrically excited microelectromechanical system. In this model, EEs occur due to the appearance of stick-slip bifurcation near the discontinuous boundary of the system. Since the parametric excitation is encountered in several real-world engineering models, like macro and micromechanical oscillators, the implications of the results presented in this paper are perhaps beneficial to understand the development of EEs in such oscillatory systems.
