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Turing instabilities in general systems.

Abstract:

We present necessary and sufficient conditions on the stability matrix of a general n(> or = 2)-dimensional reaction-diffusion system which guarantee that its uniform steady state can undergo a Turing bifurcation. The necessary (kinetic) condition, requiring that the system be composed of an unstable (or activator) and a stable (or inhibitor) subsystem, and the sufficient condition of sufficiently rapid inhibitor diffusion relative to the activator subsystem are established in three theore...

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Publication status:
Published

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Publisher copy:
10.1007/s002850000056

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Journal:
Journal of mathematical biology
Volume:
41
Issue:
6
Pages:
493-512
Publication date:
2000-12-01
DOI:
EISSN:
1432-1416
ISSN:
0303-6812
Source identifiers:
30822
Language:
English
Keywords:
Pubs id:
pubs:30822
UUID:
uuid:8895c7fa-fc65-4d4f-a2a5-ba78e8817cc6
Local pid:
pubs:30822
Deposit date:
2012-12-19

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