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Oscillatory Turing patterns in a simple reaction-diffusion system

Abstract:
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.
Publication status:
Published

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Volume:
50
Issue:
1
Pages:
234-238
Publication date:
2007-01-05
ISSN:
0374-4884
URN:
uuid:2dca3e98-02c2-4c5d-b914-2d751f3e1a72
Source identifiers:
29299
Local pid:
pubs:29299

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