On a Variety of Wave Phenomena in Chemical Reactions.

A variety of wave phenomena are analyzed and discussed for systems in which chemical reactions and transport take place. The authors consider both wave induction by heterogeneities and autonomous waves and seek perturbation solutions which provide the dispersion relation and the wave vector dependence of the amplitude for one-parameter families of waves characterized by the wave vector. For the case of an arbitrary reaction mechanism possessing a homogeneous steady state they derive, by use of bifurcation theory and frequency renormalization, small amplitude autonomous plane waves and standing and rotating waves. Various types of behavior are illustrated with a model. Wave extensions from a homogeneous limit cycle are investigated. For heterogeneous systems the relation of phase diffusion waves to kinematic waves is shown. The problem of bifurcation with symmetry breaking in a homogeneous limit cycle is analyzed with a small amplitude perturbation method. Modified author abstract