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The Parameterization Method for Invariant Manifolds: From Rigorous Results to Effective Computations (Applied Mathematical Sciences, 195) - Hardcover
Synopsis
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.
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Review
“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)
"About this title" may belong to another edition of this title.
- PublisherSpringer
- Publication date2016
- ISBN 10 3319296604
- ISBN 13 9783319296609
- BindingHardcover
- LanguageEnglish
- Edition number1
- Number of pages283
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The Parameterization Method for Invariant Manifolds: From Rigorous Results to Effective Computations (Applied Mathematical Sciences, 195)
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The Parameterization Method for Invariant Manifolds
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Springer International Publishing Apr 2016, 2016
ISBN 10: 3319296604
ISBN 13: 9783319296609
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 284 pp. Englisch. Seller Inventory # 9783319296609
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The Parameterization Method for Invariant Manifolds: From Rigorous Results to Effective Computations (Applied Mathematical Sciences, 195)
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The Parameterization Method for Invariant Manifolds : From Rigorous Results to Effective Computations
Published by
Springer International Publishing, 2016
ISBN 10: 3319296604
ISBN 13: 9783319296609
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Hardcover
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9783319296609
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The Parameterization Method for Invariant Manifolds
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Includes computational algorithms and practical details of implementationIllustrates implementation of the parameterization method with 12 fully detailed examples throughout the bookContent covers theoretical and computational aspects of th. Seller Inventory # 109865135
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