Flach, E. H. and Schnell, S. and Norbury, John (2006) Turing pattern outside of the Turing domain. Applied Mathematics Letters . (In Press)

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Abstract
There are two simple solutions to reactiondiffusion systems with limitcycle reaction kinetics, producing oscillatory behaviour. The reaction parameter gives rise to a ‘spaceinvariant’ solution, and versus the ratio of the diffusion coefficients gives rise to a ‘timeinvariant’ 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. More complex solutions arise that appear to combine the two simple solutions. The convective system sheds light on the underlying behaviour of the diffusive system.
Item Type:  Article 

Subjects:  D  G > Dynamical systems and ergodic theory O  Z > Ordinary differential equations 
Research Groups:  Oxford Centre for Industrial and Applied Mathematics 
ID Code:  278 
Deposited By:  Gareth Wyn Jones 
Deposited On:  02 Oct 2006 
Last Modified:  29 May 2015 18:19 
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