The Blowup Method

  • Christian Kuehn
Part of the Applied Mathematical Sciences book series (AMS, volume 191)


This chapter deals with geometric desingularization of nonhyperbolic equilibrium points using the so-called blowup method. The main insight, due to Dumortier and Roussarie, is that singularities at which fast and slow directions interact may be converted into partially hyperbolic problems using the blowup method. The method inserts a suitable manifold, e.g., a sphere, at the singularity.


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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Christian Kuehn
    • 1
  1. 1.Institute for Analysis and Scientific ComputingVienna University of TechnologyViennaAustria

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