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Erschienen in:
An Overview of the Parameterization Method for Invariant Manifolds Kapitel lesen Erstes Kapitel lesen

2016 | OriginalPaper | Buchkapitel

5. A Newton-like Method for Computing Normally Hyperbolic Invariant Tori

verfasst von : Marta Canadell, Àlex Haro

Erschienen in: The Parameterization Method for Invariant Manifolds

Verlag: Springer International Publishing

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Abstract

This chapter presents some ideas of normally hyperbolic manifold theory, and focuses on the algorithmic application of the parameterization method in such context. The parameterization method is applied to the computation of several normally hyperbolic invariant manifolds, in the following examples: computation of an attracting invariant curve in a 2D- Fattened Arnold Family, computation of a saddle invariant curve in a 3D- Fattened Arnold Family, and the computation of a 2D normally hyperbolic invariant cylinder in the Froeschlé map.

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Metadaten
Titel
A Newton-like Method for Computing Normally Hyperbolic Invariant Tori
verfasst von
Marta Canadell
Àlex Haro
Copyright-Jahr
2016
Buch
The Parameterization Method for Invariant Manifolds

Print ISBN: 978-3-319-29660-9

Electronic ISBN: 978-3-319-29662-3

Copyright-Jahr: 2016

DOI
https://doi.org/10.1007/978-3-319-29662-3_5

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