Publication at Faculty of Mathematics and Physics |
2022
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.