| Abstract: |
| In 1952, Turing proposed the mechanism of pattern formation in which a stable equilibrium of some kinetic system is destabilized by diffusion. In the case of two-component reaction--diffusion systems, however, the diffusion coefficients should be different for Turing's instability. I will give an example of a kinetic system with a asymptotically stable equilibrium, while the corresponding two-component reaction--diffusion system has a family of unstable stationary solutions that is arbitrarily close to the homogeneous stationary solution. |
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