Computing manifolds

Christian Kuehn

doi:10.1007/978-3-319-12316-5_11

Computing manifolds

Christian Kuehn

Technical University of Vienna

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

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.

Original language	English
Title of host publication	Applied Mathematical Sciences (Switzerland)
Publisher	Springer
Pages	327-357
Number of pages	31
DOIs	https://doi.org/10.1007/978-3-319-12316-5_11
State	Published - 2015
Externally published	Yes

Publication series

Name	Applied Mathematical Sciences (Switzerland)
Volume	191
ISSN (Print)	0066-5452
ISSN (Electronic)	2196-968X

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10.1007/978-3-319-12316-5_11

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Computing manifolds

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