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.
|The Perturbed Nonlinear Schrodinger Equation||p. 13|
|Persistent Invariant Manifolds||p. 35|
|Fibrations of the Persistent Invariant Manifolds||p. 63|
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Series: Applied Mathematical Sciences
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