The Mathematical Institute, University of Oxford, Eprints Archive

Oscillatory Turing Patterns in a Simple Reaction-Diffusion System

Liu, R. T. and Liaw, S. S. and Maini, P. K. (2007) Oscillatory Turing Patterns in a Simple Reaction-Diffusion System. Journal of the Korean Physical Society, 50 (1). pp. 234-238.



Turing suggested that, under certain conditions, chemicals can react and diffuse in such a way as to produce steady-state inhomogeneous spatial patterns of chemical concentrations. We consider a simple two-variable reaction-diffusion system and find there is a spatio-temporally oscillating solution (STOS) in parameter regions where linear analysis predicts a pure Turing instability and no Hopf instability. We compute the boundary of the STOS and spatially non-uniform solution (SSNS) regions and investigate what features control its behavior.

Item Type:Article
Additional Information:n/a
Uncontrolled Keywords:Oscillatory Turing pattern reaction-diffusion nonlinear
Subjects:A - C > Biology and other natural sciences
Research Groups:Centre for Mathematical Biology
ID Code:573
Deposited By: Philip Maini
Deposited On:27 Feb 2007
Last Modified:29 May 2015 18:24

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