Complex responses have been observed in a wide range of chemical and engine
ering systems: In well-stirred and unstirred solution-phase, in gels, in he
terogeneous catalysis and dissolution reactions, in gas- and solid-phase co
mbustion, widely in biological systems, accompanying phase transitions, in
atmospheric kinetics and even in interstellar dust clouds. Complex behaviou
r does not, however, imply a necessarily complex underlying chemical mechan
ism. The appropriate feedback mechanisms, built on chain-branching, autocat
alysis or self-heating, arise quite commonly in Nature. In many instances,
it is appropriate first to attempt to find reduced mechanisms giving a semi
-quantitative fit to observed responses. An example of such an approach app
lied to a model for complex oscillations of species concentrations in the m
esosphere is presented, and the reduced model used to investigate the effec
ts of longitudinal mixing in this system. Once a general understanding of a
particular reaction system has been obtained, more detailed questions can
be addressed. This is exemplified by a study of the development of three-di
mensional scroll waves in the Belousov-Zhabotinsky reaction. Such detailed
information for a specific reaction also informs the general understanding
of the class of 'excitable media'. (C) 1999 Elsevier Science Ltd. All right
s reserved.