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Non-linear effects on Turing patterns: time oscillations and chaos.

Abstract:

We show that a model reaction-diffusion system with two species in a monostable regime and over a large region of parameter space, produces Turing patterns coexisting with a limit cycle which cannot be discerned from the linear analysis. As a consequence, Turing patterns oscillate in time, a phenomenon which is expected to occur only in a three morphogen system. When varying a single parameter, a series of bifurcations lead to period doubling, quasi-periodic and chaotic oscillations without m...

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Publication date:
2012-01-01
URN:
uuid:bb9d9de5-25a1-4071-891a-467f10e59d1a
Local pid:
oai:eprints.maths.ox.ac.uk:1529

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