The Parameterization Method For Invariant Manifolds

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The Parameterization Method for Invariant Manifolds

The Parameterization Method for Invariant Manifolds
Author :
Publisher : Springer
Total Pages : 280
Release :
ISBN-10 : 9783319296623
ISBN-13 : 3319296620
Rating : 4/5 (620 Downloads)

Book Synopsis The Parameterization Method for Invariant Manifolds by : Àlex Haro

Download or read book The Parameterization Method for Invariant Manifolds written by Àlex Haro and published by Springer. This book was released on 2016-04-18 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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