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Room P3.10, Mathematics Building
Pablo Padilla, Universidad Nacional Autónoma de México
Bifurcation theory for non autonomous systems
We consider bifurcation problems arising in mathematical biology, specifically in pattern formation on nonplanar, growing domains. This setting leads to the study of reaction-diffusion equations with variable coefficients. We present both analytical and numerical results and discuss the Turing-Hopf bifurcation for a Fitzhugh-Nagumo system. This is joint work with J. Castillo and F. Sánchez.