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＜E-Book＞
The Parameterization Method for Invariant Manifolds : From Rigorous Results to Effective Computations / by Àlex Haro, Marta Canadell, Jordi-Lluis Figueras, Alejandro Luque, Josep Maria Mondelo
(Applied Mathematical Sciences. ISSN:2196968X ; 195)

Edition	1st ed. 2016.
Publisher	(Cham : Springer International Publishing : Imprint: Springer)
Year	2016
Size	XVI, 267 p. 58 illus., 55 illus. in color : online resource
Authors	*Haro, Àlex author Canadell, Marta author Figueras, Jordi-Lluis author Luque, Alejandro author Mondelo, Josep Maria author SpringerLink (Online service)
Subjects	LCSH:Dynamical systems LCSH:System theory LCSH:Numerical analysis LCSH:Differential equations LCSH:Mathematical physics FREE:Dynamical Systems FREE:Complex Systems FREE:Numerical Analysis FREE:Differential Equations FREE:Theoretical, Mathematical and Computational Physics
Notes	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 HTTP:URL=https://doi.org/10.1007/978-3-319-29662-3

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