Pattern formation (II): The Turing Instability

Details Pattern formation (II): The Turing Instability Pattern formation (II): The Turing Instability

2005-10-19

arxiv.org/abs/math/0510419v1

Mathematics

Analysis of PDEs

Scientific paper

We consider the classical Turing instability in a reaction-diffusion system
as the secend part of our study on pattern formation. We prove that nonlinear
dynamics of a general perturbation of the Turing instability is determined by
the finite number of linear growing modes over a time scale of $ln(1/\delta)$,
where &\delta$ is the strength of the initial perturbation.

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