Asymptotic Solutions of the Field‐Noyes Model for the Belousov Reaction—II. Plane Waves
The spatially homogeneous limit cycle solutions found by Stanshine and Howard  for the Field‐Noyes model of the Belousov reaction are used to obtain plane wave solutions for the related reaction‐diffusion equations. Perturbation techniques are implemented first to find long wavelength waves and then successively to find shorter wavelength waves. Plane wave solutions are then shown to exist for sufficiently short wavelengths for parametric values which are physically plausible but for which spatially homogeneous oscillations do not (apparently) exist.
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Document Type: Research Article
Affiliations: University of New York at Albany
Publication date: December 1, 1976