Abstract：
The origin of fast radio bursts (FRBs), the brightest cosmic explosion in radio bands, remains unknown. We introduce here a novel method for a comprehensive analysis of active FRBs\' behaviors in the time-energy domain. Using \"Pincus Index\" and \"Maximum Lyapunov Exponent\", we were able to quantify the randomness and chaoticity, respectively, of the bursting events and put FRBs in the context of common transient physical phenomena, such as pulsar, earthquakes, and solar flares. In the bivariate time-energy domain, repeated FRB bursts\' behaviors deviate significantly (more random, less chaotic) from pulsars, earthquakes, and solar flares. The waiting times between FRB bursts and the corresponding energy changes exhibit no correlation and remain unpredictable, suggesting that the emission of FRBs does not exhibit the time and energy clustering observed in seismic events. The pronounced stochasticity may arise from a singular source with high entropy or the combination of diverse emission mechanisms/sites. Consequently, our methodology serves as a pragmatic tool for illustrating the congruities and distinctions among diverse physical processes.
摘要：
快速无线电脉冲(FRB)的起源，无线电频段中最明亮的宇宙爆炸，仍然未知。我们在这里介绍了一种新的方法，用于在时间-能量域中对活跃的FRB行为进行综合分析。使用“Pincus指数”和“最大Lyapunov指数”，我们能够量化随机性和混沌性，分别,并将FRB置于常见的瞬态物理现象的背景下，比如脉冲星，地震,和太阳耀斑。在双变量时间能量域中，重复的FRB突发行为显著偏离(更随机，更少的混沌)来自脉冲星，地震,和太阳耀斑。FRB突发和相应的能量变化之间的等待时间没有相关性，并且仍然不可预测，这表明FRB的发射没有表现出在地震事件中观察到的时间和能量聚类。明显的随机性可能来自具有高熵的单个源或各种发射机制/位点的组合。因此,我们的方法是一个实用的工具，用于说明不同物理过程之间的一致性和区别。
