In 1974 a Faraday Symposium was held at the Royal Institution on the s
ubject of 'The Physical Chemistry of Oscillatory Processes'. That time
ly event brought together an international group of specialists in the
newly developing, interdisciplinary research field of oscillations, c
hemical waves and other 'exotic' phenomena. In the 21 years since the
Symposium, our understanding of many fundamental properties of such be
haviour has deepened through the application of advances in pure and a
pplied mathematics in collaboration with experimental studies based in
many physical, biological and engineering contexts, with the physical
chemist being preeminent, exploiting the natural 'non-linearities' in
chemical kinetics. This account illustrates how these ideas have been
applied and developed through two specific examples: the route to cha
os in the oxidation of carbon monoxide and the experimental challenge
posed by Alan Turing's predictions of chemical patterns.