标题： 有界和无界系统中李雅普诺夫指数的相对论不变性 显示英文标题

标题： Relativistic invariance of Lyapunov exponents in bounded and unbounded systems

摘要： 相对论系统中混沌的研究一直受到李雅普诺夫指数（LEs）的观察者依赖性以及在将LEs解释为混沌指标时所采用的条件（如轨道有界性）的阻碍。 在这里，我们建立了一个通用框架，克服了这两个困难，并应用该方法来解决三个基本问题：LEs在洛伦兹变换、里德勒变换和均匀旋转参考系变换下的变化情况。 第一个和第三个问题的答案表明，惯性参考系和均匀旋转参考系的观察者在基于LEs的混沌表征上达成一致。 另一方面，第二个问题是一个病态问题，因为均匀加速观察者固有的事件视界导致了这一问题。 显示英文摘要

摘要： The study of chaos in relativistic systems has been hampered by the observer dependence of Lyapunov exponents (LEs) and of conditions, such as orbit boundedness, invoked in the interpretation of LEs as indicators of chaos. Here we establish a general framework that overcomes both difficulties and apply the resulting approach to address three fundamental questions: how LEs transform under Lorentz and Rindler transformations and under transformations to uniformly rotating frames. The answers to the first and third questions show that inertial and uniformly rotating observers agree on a characterization of chaos based on LEs. The second question, on the other hand, is an ill-posed problem due to the event horizons inherent to uniformly accelerated observers.