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Erschienen in:
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2015 | OriginalPaper | Buchkapitel

7. The Blowup Method

verfasst von : Christian Kuehn

Erschienen in: Multiple Time Scale Dynamics

Verlag: Springer International Publishing

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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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Vorheriges Kapitel Tracking Invariant Manifolds
Nächstes Kapitel Singularities and Canards
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Metadaten
Titel
The Blowup Method
verfasst von
Christian Kuehn
Copyright-Jahr
2015
Buch
Multiple Time Scale Dynamics

Print ISBN: 978-3-319-12315-8

Electronic ISBN: 978-3-319-12316-5

Copyright-Jahr: 2015

DOI
https://doi.org/10.1007/978-3-319-12316-5_7