In this paper, we discuss the emergence of extreme events in a parametrically driven non-polynomial mechanical system with a velocity-dependent potential. We confirm the occurrence of extreme events from the probability distribution function of the peaks, which exhibits a long-tail. We also present the mechanism for the occurrence of extreme events. We found that the probability of occurrence of extreme events alternatively increases and decreases with a brief region where the probability is zero. At the point of highest probability of extreme events, when the system is driven externally, we find that the probability decreases to zero. Our investigation confirms that the external drive can be used as an useful tool to mitigate extreme events in this nonlinear dynamical system. Through two-parameter diagrams, we also demonstrate the regions where extreme events get suppressed. In addition to the above, we show that extreme events persist when the system is influenced by noise and even get transformed to super-extreme events when the state variable is influenced by noise.

在本文中，我们讨论了极限事件在具有速度相关电位的参数驱动非多项式机械系统中的出现。我们从峰的概率分布函数确认了极端事件的发生，这显示出一个长尾。我们还介绍了极端事件发生的机制。我们发现，极端事件发生的概率随着概率为零的短暂区域而增加和减少。在发生极端事件的可能性最高时，当系统由外部驱动时，我们发现该可能性降低为零。我们的研究证实，外部驱动器可以用作缓解这种非线性动力系统中极端事件的有用工具。通过两参数图，我们还演示了极端事件被压制的区域。除上述内容外，我们还表明，当系统受噪声影响时，极端事件仍然存在，而当状态变量受噪声影响时，极端事件甚至转化为超极端事件。