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The Parameterization Method for Invariant Manifolds = From Rigorous Results to Effective Computations /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	The Parameterization Method for Invariant Manifolds/ by Àlex Haro, Marta Canadell, Jordi-Lluis Figueras, Alejandro Luque, Josep Maria Mondelo.
其他題名:	From Rigorous Results to Effective Computations /
作者:	Haro, Àlex.
其他作者:	Canadell, Marta.
面頁冊數:	XVI, 267 p. 58 illus., 55 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Dynamics. -
電子資源:	https://doi.org/10.1007/978-3-319-29662-3
ISBN:	9783319296623

The Parameterization Method for Invariant Manifolds = From Rigorous Results to Effective Computations /
Haro, Àlex.

The Parameterization Method for Invariant ManifoldsFrom Rigorous Results to Effective Computations /[electronic resource] :by Àlex Haro, Marta Canadell, Jordi-Lluis Figueras, Alejandro Luque, Josep Maria Mondelo. - 1st ed. 2016. - XVI, 267 p. 58 illus., 55 illus. in color.online resource. - Applied Mathematical Sciences,1950066-5452 ;. - Applied Mathematical Sciences,191.

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:

592238
Dynamics.

LC Class. No.: QA313

Dewey Class. No.: 515.39

The Parameterization Method for Invariant Manifolds = From Rigorous Results to Effective Computations /
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