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Keywords:
pattern formation; reaction-diffusion model; Turing instability; diffusion-driven instability; bifurcation
pattern formation; reaction-diffusion model; Turing instability; diffusion-driven instability; bifurcation
Summary:
The paper deals with the issue of self-organization in applied sciences. It is particularly related to the emergence of Turing patterns. The goal is to analyze the domain size driven instability: We introduce the parameter $L$, which scales the size of the domain. We investigate a particular reaction-diffusion model in 1-D for two species. We consider and analyze the steady-state solution. We want to compute the solution branches by numerical continuation. The model in question has certain symmetries. We define and classify them. Our goal is to calculate a global bifurcation diagram.
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