Translator Disclaimer
October 2008 Deviation from the Predicted Wavenumber in a Mode Selection Problem for the Turing Patterns
Masataka Kuwamura
Japan J. Indust. Appl. Math. 25(3): 281-303 (October 2008).

Abstract

In this paper, we investigate a mode selection problem for the Turing patterns generated from small random initial disturbances in one-dimensional reaction-diffusion systems on a sufficiently large domain. For this problem, it is widely accepted that the maximizer of the dispersion relation give rise to the wavenumber to be selected. Even in a small neighborhood of the bifurcation point, our numerical experiments show that this is not always true.

Citation

Download Citation

Masataka Kuwamura. "Deviation from the Predicted Wavenumber in a Mode Selection Problem for the Turing Patterns." Japan J. Indust. Appl. Math. 25 (3) 281 - 303, October 2008.

Information

Published: October 2008
First available in Project Euclid: 5 June 2009

zbMATH: 1171.35065
MathSciNet: MR2479128

Rights: Copyright © 2008 The Japan Society for Industrial and Applied Mathematics

JOURNAL ARTICLE
23 PAGES


SHARE
Vol.25 • No. 3 • October 2008
Back to Top