ABSTRACT
My objective is to provide a resume´ of experience gained by research into the role of ideas from low-dimensional dynamical systems applied to the understanding of complicated motions in fluid flows. When I began working in this area the words turbulence and chaos were used synonymously in conference titles. Now we have apparently reached the stage where low-dimensional chaos is completely ‘understood’ and still the problem of turbulence remains as deep and mysterious as ever. It therefore seems natural to enquire whether the important ideas encompassed within finite-dimensional dynamical systems have shed much light on disordered fluid motion.
