标题： 量化磁星爆发中的混沌与随机性 显示英文标题

标题： Quantifying chaos and randomness in magnetar bursts

摘要： 本研究首次在磁星暴发的混沌-随机相空间背景下探讨了其动力学稳定性，旨在揭示与各种天体瞬变现象（包括快速射电暴（FRB））相比的独特行为。 我们分析了活跃磁星源 SGR J1550-5418 和 SGR J1935+2154 的暴发能量时间序列数据，重点关注连续事件之间的暴发到达时间和能量差异。 我们发现时间域中存在明显的分离，磁星暴发表现出比 FRB、太阳耀斑和地震显著更低的随机性，且具有稍高的混沌程度。 在能量域中，磁星暴发与其他现象表现出广泛的相似性，这主要归因于不同暴发和源之间观察到的混沌-随机性的广泛分布。 有趣的是，与 FRB-磁星关联的预期相反，在我们的分析中，磁星暴发的到达时间模式在混沌-随机平面中并未显示出与重复 FRB 显著接近。 这一发现可能挑战了 FRB 与典型磁星暴发相关的假设，但间接支持了 FRB 主要与特殊磁星暴发（如来自 SGR J1935+2154 的奇特 X 射线暴）相关联的证据，这些暴发与银河系 FRB 200428 同时被观测到。 显示英文摘要

摘要： In this study, we explore the dynamical stability of magnetar bursts within the context of the chaos-randomness phase space for the first time, aiming to uncover unique behaviors compared to various astrophysical transients, including fast radio bursts (FRBs). We analyze burst energy time series data from active magnetar sources SGR J1550-5418 and SGR J1935+2154, focusing on burst arrival time and energy differences between consecutive events. We find a distinct separation in the time domain, where magnetar bursts exhibit significantly lower randomness compared to FRBs, solar flares, and earthquakes, with a slightly higher degree of chaos. In the energy domain, magnetar bursts exhibit a broad consistency with other phenomena, primarily due to the wide distribution of chaos-randomness observed across different bursts and sources. Intriguingly, contrary to expectations from the FRB-magnetar connection, the arrival time patterns of magnetar bursts in our analysis do not exhibit significant proximity to repeating FRBs in the chaos-randomness plane. This finding may challenge the hypothesis that FRBs are associated with typical magnetar bursts but indirectly supports the evidence that FRBs may primarily be linked to special magnetar bursts like peculiar X-ray bursts from SGR J1935+2154 observed simultaneously with Galactic FRB 200428.