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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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J. L. Aragón More by this author
R. A. Barrio More by this author
T. E. Woolley More by this author
R. E. Baker More by this author
P. K. Maini More by this author
Publication date:
2012
URN:
uuid:bb9d9de5-25a1-4071-891a-467f10e59d1a
Local pid:
oai:eprints.maths.ox.ac.uk:1529

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