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Turing pattern outside of the Turing domain

Abstract:

There are two simple solutions to reaction-diffusion systems with limit-cycle reaction kinetics, producing oscillatory behaviour. The reaction parameter $\mu$ gives rise to a ‘space-invariant’ solution, and $\mu$ versus the ratio of the diffusion coefficients gives rise to a ‘time-invariant’ solution. We consider the case where both solution types may be possible. This leads to a refinement of the Turing model of pattern formation. We add convection to the system and investigate its effect. M...

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Publication date:
2006-01-01
URN:
uuid:c9510a25-f8a3-49c0-8c42-26055f7f358e
Local pid:
oai:eprints.maths.ox.ac.uk:278

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