This study suggests the use of the probability density of points on the attractor of a dynamic system for the purposes of damage detection. This suggestion is based on the ergodic theorem, which relates the invariants of a dynamic system and the probability distribution of points on its attractor. The main assumption is that the geometric properties of the attractor will change at the introduction of damage. This assumption is theoretically based and the results from the case study as well as from previous studies come to justify it.