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Published in:
An Overview of the Parameterization Method for Invariant Manifolds Read chapter Read first chapter

2016 | OriginalPaper | Chapter

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

Authors : Marta Canadell, Àlex Haro

Published in: The Parameterization Method for Invariant Manifolds

Publisher: 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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previous chapter The Parameterization Method in KAM Theory
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Metadata
Title
A Newton-like Method for Computing Normally Hyperbolic Invariant Tori
Authors
Marta Canadell
Àlex Haro
Copyright Year
2016
Book
The Parameterization Method for Invariant Manifolds

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

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

Copyright Year: 2016

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

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