Deviation from the Predicted Wavenumber in a Mode Selection Problem for the Turing Patterns
Kuwamura, Masataka
Japan J. Indust. Appl. Math., Tome 25 (2008) no. 1, p. 281-303 / Harvested from Project Euclid
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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.
Publié le : 2008-10-15
Classification:  Turing pattern,  mode selection,  dispersion relation 
@article{1244209044,
     author = {Kuwamura, Masataka},
     title = {Deviation from the Predicted Wavenumber in a Mode Selection Problem for the Turing Patterns},
     journal = {Japan J. Indust. Appl. Math.},
     volume = {25},
     number = {1},
     year = {2008},
     pages = { 281-303},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1244209044}
}

Kuwamura, Masataka. Deviation from the Predicted Wavenumber in a Mode Selection Problem for the Turing Patterns. Japan J. Indust. Appl. Math., Tome 25 (2008) no. 1, pp.  281-303. http://gdmltest.u-ga.fr/item/1244209044/