A mathematical analysis of the stratospheric photochemical system (gas phas
e reactions only) shows the existence of potential catastrophe mechanisms w
hich could produce a dramatic reduction in the ozone concentration near 25
km altitude. The conditions leading to such catastrophe correspond to a rel
atively modest (i.e., factor 2-2.5) increase in the stratospheric source of
reactive nitrogen (NOx). For a tenfold increase in the source of reactive
chlorine (ClOx), the ozone system exhibits a large amplitude oscillatory be
havior with a period of several tens of years. Transport processes could, h
owever, damp these dramatic changes resulting from the nonlinear nature of
the stratospheric chemical system.