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Published in:
1986 | OriginalPaper | Chapter
A Numerical Analysis of Wave Phenomena in a Reaction Diffusion Model
Authors : E. J. Doedel, J. P. Kernevez
Published in: Nonlinear Oscillations in Biology and Chemistry
Publisher: Springer Berlin Heidelberg
Included in: Professional Book Archive
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A numerical analysis of wave phenomena in a reaction diffusion model is given. These take place in the neighborhood of a singularity in the underlying ordinary differential equations governing the spatially uniform solutions. Many of the states, whether traveling waves, stationary waves (patterns) or uniform states, coexist and are asymptotically stable. The number of states and their complexity increases as a size parameter becomes larger.