Invariant Manifolds and Fibrations for Perturbed Nonlinear Schrödinger Equations: 128 (Applied Mathematical Sciences) - Hardcover

Li, Charles; Wiggins, Stephen

 
9780387949253: Invariant Manifolds and Fibrations for Perturbed Nonlinear Schrödinger Equations: 128 (Applied Mathematical Sciences)
Hardcover
ISBN 10: 0387949259 ISBN 13: 9780387949253
Verlag: Springer, 1997

Inhaltsangabe

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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Reseña del editor

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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Verlag
Springer
Erscheinungsdatum
1997
Sprache
Englisch
ISBN 10 
0387949259
ISBN 13 
9780387949253
Einband
Tapa dura
Anzahl der Seiten
188
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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Softcover