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Turing's instability versus cross-diffusion-driven instability

Mimura, M (Meiji University, Kanazawa, Japan)
Wednesday 14 March 2012, 17:10-18:00



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.

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