Theoretical Investigations of Chaotic Dynamics.

Problems arising in the area of nonlinear vibrations were studied. Essentially equations such as that for a periodically forced, damped pendulum are capable of exhibiting behavior which was unsuspected even 10 years ago and the principal investigator was in the forefront to the effort to explain these mysteries. It was he who coined the term chaos and the students and publications here identified are confined to that topic. Dr. Yorke reports on work to determine the factual dimension of attracting sets for differential equations together with some vigorous results on the dependence of such sets on equation parameters.