Volume 51, Number 3, August I 2000
|Page(s)||300 - 306|
|Section||Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics|
|Published online||01 September 2002|
Selection and competition of Turing patterns
Instituto de Física, Facultad de Ciencias,
Universidad de Navarra E-31080 Pamplona, Navarra, Spain
Accepted: 31 May 2000
We examine the selection and competition of patterns in the Brusselator model, one of the simplest reaction-diffusion systems giving rise to Turing instabilities. Simulations of this model show a significant change in the wave number of stable patterns as the control parameter is increased. A weakly nonlinear analysis makes it possible to obtain the amplitude equations for the concentration fields near the instability threshold. Together with the linear diffusive terms, these equations also contain nonvariational spatial terms. When these terms are included, the stability diagrams and the thresholds for secondary instabilities are heavily modified with respect to the usual diffusive case. The results obtained from the numerical simulations fit very well into the calculated stability regions.
PACS: 47.54.+r – Pattern selection; pattern formation / 82.40.Bj – Oscillations, chaos, and bifurcations in homogeneous nonequilibrium reactors / 47.20.Ky – Nonlinearity (including bifurcation theory)
© EDP Sciences, 2000
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.