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The Blowup Method

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Multiple Time Scale Dynamics

Part of the book series: Applied Mathematical Sciences ((AMS,volume 191))

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Abstract

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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Authors and Affiliations

  1. Institute for Analysis and Scientific Computing, Vienna University of Technology, Vienna, Austria

    Christian Kuehn

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  1. Christian Kuehn
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Kuehn, C. (2015). The Blowup Method. In: Multiple Time Scale Dynamics. Applied Mathematical Sciences, vol 191. Springer, Cham. https://doi.org/10.1007/978-3-319-12316-5_7

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