Bjorn Sandstede

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  Spots and oscillons: beyond amplitude equations
  Bjorn Sandstede
  Many planar spatially extended systems exhibit localized radial patterns such as spots and oscillons. In particular, such structures can emerge at Turing and forced Hopf bifurcations. In this talk, I will give an overview of these mechanisms and show how geometric blow-up techniques can be used to analyse them: among the findings is the bifurcation of localized structures that have significantly larger amplitudes than expected from amplitude equations.