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The parameterization method for invariant manifolds[electronic resource] :from rigorous results to effective computations /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	515.39
書名/作者:	The parameterization method for invariant manifolds : from rigorous results to effective computations // by Alex Haro ... [et al.].
其他作者:	Haro, Alex.
出版者:	Cham : : Springer International Publishing :, 2016.
面頁冊數:	xvi, 267 p. : : ill. (some col.), digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Invariant manifolds.
標題:	Mathematics.
標題:	Dynamical Systems and Ergodic Theory.
標題:	Statistical Physics, Dynamical Systems and Complexity.
標題:	Numerical Analysis.
標題:	Partial Differential Equations.
ISBN:	9783319296623
ISBN:	9783319296609
內容註:	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.
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-29662-3

The parameterization method for invariant manifolds[electronic resource] :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:

641128
Invariant manifolds.

LC Class. No.: QA613

Dewey Class. No.: 515.39

The parameterization method for invariant manifolds[electronic resource] :from rigorous results to effective computations /
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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.
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650 2 4 $a Statistical Physics, Dynamical Systems and Complexity. $3 463838
650 2 4 $a Numerical Analysis. $3 465756
650 2 4 $a Partial Differential Equations. $3 464931
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