论文标题
动态系统中极端事件的路线：动态和统计特征
Routes to extreme events in dynamical systems: Dynamical and Statistical Characteristics
论文作者
论文摘要
间歇性大幅度事件在许多动态系统的状态变量的时间演化中看到。这种间歇性的大事件突然开始以系统参数的临界值出现在动态系统中，并为一系列参数值继续出现。在许多系统中观察到的三个重要的不稳定性过程，即内部危机，波莫 - 曼纳维尔的间歇性和准运动的崩溃，这是最常见的，这些系统在许多系统中都会导致这种偶尔和罕见的过渡到大型振幅尖峰事件。如果这些大事件大于统计定义的显着高度，我们将这些偶尔的大事件表征为极端事件。我们提出了两个模范系统，一个单个系统和一个耦合系统，以说明不稳定性如何起源于极端事件，并且它们表现为非平凡的动力事件。我们说明了此类事件的动态和统计特性。
Intermittent large amplitude events are seen in the temporal evolution of a state variable of many dynamical systems. Such intermittent large events suddenly start appearing in dynamical systems at a critical value of a system parameter and continues for a range of parameter values. Three important processes of instabilities, namely, interior crisis, Pomeau-Manneville intermittency and the breakdown of quasiperiodic motion, are most common as observed in many systems that lead to such occasional and rare transitions to large amplitude spiking events. We characterize these occasional large events as extreme events if they are larger than a statistically defined significant height. We present two exemplary systems, a single system and a coupled system to illustrate how the instabilities work to originate as extreme events and they manifest as non-trivial dynamical events. We illustrate the dynamical and statistical properties of such events.
