"The talk addresses the quantitative study of resilience in dynamical systems by analyzing a range of resilience indicators within a unified mathematical and computational framework. Emphasis is placed on ecological resilience and on extending existing approaches from autonomous systems to settings with time-dependent perturbations, leading to nonautonomous dynamics. To address the lack of classical invariant structures in this context, characteristic performance ranges are used as practical reference states. The developed framework is applied to case studies, demonstrating how time-dependent disturbances and rate-induced effects influence resilience and tipping behavior."