Turing's instability versus cross-diffusion-driven instability
Turing' diffusion-driven instability has been observed in diverse complex and regularized spatio and/or temporal patterns in not only scientific but also engineering fields. Another instability on pattern formation, such ascross-diffusion-driven instability or chemotactic instability is discussed in ecological and biological systems. In this talk, I am concerned with the relation between two types of instabilities above. As an application, I discuss self-organized aggregation of biological individuals with aggregation pheromones.
Keywords: cross-diffusion, active aggregation, infinite dimensional relaxation oscillation.