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Applied Mathematical Sciences

The Parameterization Method for Invariant Manifolds

From Rigorous Results to Effective Computations

Authors: Haro, À., Canadell, M., Figueras, J.-L., Luque, A., Mondelo, J.M.

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  • Includes computational algorithms and practical details of implementation
  • Illustrates implementation of the parameterization method with 12 fully detailed examples throughout the book
  • Content covers theoretical and computational aspects of the paramerterization method
  • Access to codes available via webpage
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eBook 83,29 €
price for Spain (gross)
valid through December 14, 2019
  • ISBN 978-3-319-29662-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 103,99 €
price for Spain (gross)
  • ISBN 978-3-319-29660-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 103,99 €
price for Spain (gross)
  • ISBN 978-3-319-80620-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

This monograph presents some theoretical and computational aspects of the parameterization method for invariant manifolds, focusing on the following contexts: invariant manifolds associated with fixed points, invariant tori in quasi-periodically forced systems, invariant tori in Hamiltonian systems and normally hyperbolic invariant manifolds. This book provides algorithms of computation and some practical details of their implementation. The methodology is illustrated with 12 detailed examples,  many of them well known in the literature of numerical computation in dynamical systems.  A public version of the software used for some of the examples is available online.

The book is aimed at mathematicians, scientists and engineers interested in the theory and  applications of computational dynamical systems.

Reviews

“This book provides a unified formulation of the parametrization method (PM), which can be used to study different problems in the theory of dynamical systems. … The monograph can be recommended to mathematicians, scientists and engineers who are interested in the theory and application of dynamical systems as a reference book. It can also be used as a textbook for graduate students in courses on the mathematical theory of dynamical systems.” (Martin Hermann, Mathematical Reviews, March, 2017)  

“In this monograph, the authors present a unified formulation of the parametrization method applied in some specific contexts … . The monograph contains an extensive bibliography and is recommended to researchers specialized in the theoretical and computational methods for the study of dynamical systems.” (Rodica Luca, zbMATH, 1372.37002, 2017)


Table of contents (5 chapters)

Table of contents (5 chapters)

Buy this book

eBook 83,29 €
price for Spain (gross)
valid through December 14, 2019
  • ISBN 978-3-319-29662-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 103,99 €
price for Spain (gross)
  • ISBN 978-3-319-29660-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 103,99 €
price for Spain (gross)
  • ISBN 978-3-319-80620-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
The Parameterization Method for Invariant Manifolds
Book Subtitle
From Rigorous Results to Effective Computations
Authors
Series Title
Applied Mathematical Sciences
Series Volume
195
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-29662-3
DOI
10.1007/978-3-319-29662-3
Hardcover ISBN
978-3-319-29660-9
Softcover ISBN
978-3-319-80620-4
Series ISSN
0066-5452
Edition Number
1
Number of Pages
XVI, 267
Number of Illustrations
3 b/w illustrations, 55 illustrations in colour
Topics