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Invariant Manifolds and Fibrations for Perturbed Nonlinear Schrödinger Equations (Applied Mathematical Sciences, 128)

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ISBN-10:

0387949259

ISBN-13:

9780387949253

Author(s): Li, Charles; Wiggins, Stephen
Edition: 1997
Released: Oct 23, 1997
Publisher: Springer
Format: Hardcover, 180 pages
Related ISBN: 9781461273073
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Description:

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.

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