Abstract
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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Janovský, V. Analysis of pattern formation using numerical continuation. Appl Math 67, 705–726 (2022). https://doi.org/10.21136/AM.2022.0126-21
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DOI: https://doi.org/10.21136/AM.2022.0126-21