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Invariant Manifolds and Fibrations for Perturbed Nonlinear Schroedinger Equations : Applied Mathematical Sciences - Stephen Wiggins

Invariant Manifolds and Fibrations for Perturbed Nonlinear Schroedinger Equations

Applied Mathematical Sciences

Hardcover Published: 23rd October 1997
ISBN: 9780387949253
Number Of Pages: 172

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In this monograph the authors present detailed and pedagogic proofs of persistence theorems for normally hyperbolic invariant manifolds and their stable and unstable manifolds for classes of perturbations of the NLS equation, as well as for the existence and persistence of fibrations of these invariant manifolds. Their techniques are based on an infinite dimensional generalisation of the graph transform and can be viewed as an infinite dimensional generalisation of Fenichels results. As such, they may be applied to a broad class of infinite dimensional dynamical systems.

Introductionp. 1
The Perturbed Nonlinear Schrodinger Equationp. 13
Persistent Invariant Manifoldsp. 35
Fibrations of the Persistent Invariant Manifoldsp. 63
Referencesp. 161
Indexp. 168
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780387949253
ISBN-10: 0387949259
Series: Applied Mathematical Sciences
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 172
Published: 23rd October 1997
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 23.5 x 15.5  x 1.91
Weight (kg): 0.98