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Erschienen in:
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2015 | OriginalPaper | Buchkapitel

11. Computing Manifolds

verfasst von : Christian Kuehn

Erschienen in: Multiple Time Scale Dynamics

Verlag: Springer International Publishing

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Abstract

We have extensively discussed the properties of invariant manifolds and their relevance for fast–slow systems in previous chapters. However, we usually used explicit algebraic expressions or asymptotic expansions to deal with critical and slow manifolds. For a general multiple time scale system, there are several complications. They may not be in standard form, and even if they are, then calculating a slow manifold analytically may be intractable. This chapter deals with algorithms to find and compute invariant manifolds for fast–slow systems numerically.

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Vorheriges Kapitel Numerical Methods
Nächstes Kapitel Scaling and Delay
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Metadaten
Titel
Computing Manifolds
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_11