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Invariant Manifolds in Discrete and ...

Nipp, Kaspar,

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Invariant Manifolds in Discrete and Continuous Dynamical Systems

Record Type:	Electronic resources : Monograph/item
Title/Author:	Invariant Manifolds in Discrete and Continuous Dynamical Systems/ Kaspar Nipp, Daniel Stoffer
Author:	Nipp, Kaspar,
other author:	Stoffer, Daniel,
Published:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2013,
Description:	1 online resource (225 pages)
Subject:	Calculus & mathematical analysis -
Online resource:	https://doi.org/10.4171/124
Online resource:	https://www.ems-ph.org/img/books/nipp_mini.jpg
ISBN:	9783037196243

Invariant Manifolds in Discrete and Continuous Dynamical Systems
Nipp, Kaspar,

Invariant Manifolds in Discrete and Continuous Dynamical Systems[electronic resource] /Kaspar Nipp, Daniel Stoffer - Zuerich, Switzerland :European Mathematical Society Publishing House,2013 - 1 online resource (225 pages) - EMS Tracts in Mathematics (ETM)21.

Restricted to subscribers:https://www.ems-ph.org/ebooks.php

In this book dynamical systems are investigated from a geometric viewpoint. Admitting an invariant manifold is a strong geometric property of a dynamical system. This text presents rigorous results on invariant manifolds and gives examples of possible applications. In the first part discrete dynamical systems in Banach spaces are considered. Results on the existence and smoothness of attractive and repulsive invariant manifolds are derived. In addition, perturbations and approximations of the manifolds and the foliation of the adjacent space are treated. In the second part analogous results for continuous dynamical systems in finite dimensions are established. In the third part the theory developed is applied to problems in numerical analysis and to singularly perturbed systems of ordinary differential equations. The mathematical approach is based on the so-called graph transform, already used by Hadamard in 1901. The aim is to establish invariant manifold results in a simple setting providing quantitative estimates. The book is targeted at researchers in the field of dynamical systems interested in precise theorems easy to apply. The application part might also serve as an underlying text for a student seminar in mathematics.

ISBN: 9783037196243

Standard No.: 10.4171/124doiSubjects--Topical Terms:

3480907
Calculus & mathematical analysis

Invariant Manifolds in Discrete and Continuous Dynamical Systems
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