Dynamics in nature and in man-made controlled systems are best understood via the use of mathematics, specifically by differential equations. Such an understanding was lacking for many dynamical systems that exhibit a coupling of slow and fast dynamics. Such systems are in abundance in nature and in engineering; think of a hamming bird or a helicopter.
An approach to cope with the deficiency was offered by Weizmann mathematicians. The basic idea is that the joint progress of the slow and fast motions is depicted in terms of the progress of the limit probabilistic characteristics (the limit invariant measures) of the fast dynamics. A number of concrete examples, both theoretical and numerical, related to natural and to man-made controlled dynamics, were worked out, demonstrating the effectiveness of the approach.