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The parameterization method for inva...

Haro, Alex.

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The parameterization method for invariant manifolds = from rigorous results to effective computations /

Record Type:	Electronic resources : Monograph/item
Title/Author:	The parameterization method for invariant manifolds/ by Alex Haro ... [et al.].
Reminder of title:	from rigorous results to effective computations /
other author:	Haro, Alex.
Published:	Cham :Springer International Publishing : : 2016.,
Description:	xvi, 267 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	An Overview of the Parameterization Method for Invariant Manifolds -- Seminumerical Algorithms for Computing Invariant Manifolds of Vector Fields at Fixed Points -- The Parameterization Method for Quasi-Periodic Systems: From Rigorous Results to Validated Numerics -- The Parameterization Method in KAM Theory -- A Newton-like Method for Computing Normally Hyperbolic Invariant Tori.
Contained By:	Springer eBooks
Subject:	Invariant manifolds. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-29662-3
ISBN:	9783319296623

The parameterization method for invariant manifolds = from rigorous results to effective computations /
The parameterization method for invariant manifoldsfrom rigorous results to effective computations /[electronic resource] :by Alex Haro ... [et al.]. - Cham :Springer International Publishing :2016. - xvi, 267 p. :ill. (some col.), digital ;24 cm. - Applied mathematical sciences,v.1950066-5452 ;. - Applied mathematical sciences ;v.176..

An Overview of the Parameterization Method for Invariant Manifolds -- Seminumerical Algorithms for Computing Invariant Manifolds of Vector Fields at Fixed Points -- The Parameterization Method for Quasi-Periodic Systems: From Rigorous Results to Validated Numerics -- The Parameterization Method in KAM Theory -- A Newton-like Method for Computing Normally Hyperbolic Invariant Tori.

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.

ISBN: 9783319296623

Standard No.: 10.1007/978-3-319-29662-3doiSubjects--Topical Terms:

894029
Invariant manifolds.

LC Class. No.: QA613

Dewey Class. No.: 515.39

The parameterization method for invariant manifolds = from rigorous results to effective computations /
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245 0 4 $a The parameterization method for invariant manifolds $h [electronic resource] : $b from rigorous results to effective computations / $c by Alex Haro ... [et al.].
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2016.
300 $a xvi, 267 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Applied mathematical sciences, $x 0066-5452 ; $v v.195
505 0 $a An Overview of the Parameterization Method for Invariant Manifolds -- Seminumerical Algorithms for Computing Invariant Manifolds of Vector Fields at Fixed Points -- The Parameterization Method for Quasi-Periodic Systems: From Rigorous Results to Validated Numerics -- The Parameterization Method in KAM Theory -- A Newton-like Method for Computing Normally Hyperbolic Invariant Tori.
520 $a 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.
650 0 $a Invariant manifolds. $3 894029
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Dynamical Systems and Ergodic Theory. $3 891276
650 2 4 $a Statistical Physics, Dynamical Systems and Complexity. $3 1066325
650 2 4 $a Numerical Analysis. $3 892626
650 2 4 $a Partial Differential Equations. $3 890899
700 1 $a Haro, Alex. $3 2191806
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Applied mathematical sciences ; $v v.176. $3 1565663
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-29662-3
950 $a Mathematics and Statistics (Springer-11649)