Invariant Manifolds and Fibrations for Perturbed Nonlinear Schroedinger Equations

Charles Li,Stephen Wiggins

Invariant Manifolds and Fibrations for Perturbed Nonlinear Schroedinger Equations
Format
Hardback
Publisher
Springer-Verlag New York Inc.
Country
United States
Published
23 October 1997
Pages
172
ISBN
9780387949253

Invariant Manifolds and Fibrations for Perturbed Nonlinear Schroedinger Equations

Charles Li,Stephen Wiggins

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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.

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