Pattern formation (II): The Turing Instability
Yan Guo, Hyung Ju Hwang
Abstract
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/δ), where &δ$ is the strength of the initial perturbation.
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