This paper introduces three types of dynamical indicators that capture the effect of uncertainty on the time evolution of dynamical systems. Two indicators are derived from the definition of Finite Time Lyapunov Exponents while a third indicator directly exploits the property of the polynomial expansion of the dynamics with respect to the uncertain quantities. The paper presents the derivation of the indicators and a number of numerical experiments that illustrates the use of these indicators to depict a cartography of the phase space under parametric uncertainty and to identify robust initial conditions and regions of practical stability in the restricted three-body problem.

翻译：本文介绍了三类动力学指标，用以捕捉不确定性对动力学系统时间演化的影响。其中两个指标基于有限时间李雅普诺夫指数的定义推导得出，第三个指标则直接利用了动力学关于不确定量的多项式展开特性。本文阐述了这些指标的推导过程，并通过一系列数值实验展示了如何利用这些指标描绘参数不确定性下的相空间图景，以及在限制性三体问题中识别鲁棒初始条件和实用稳定区域。