| Title:
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INVARIANT MANIFOLDS AND FIBRATIONS FOR PERTURBED NONLINEAR SCHRODINGER EQUATIONS
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| By: |
Stephen Wiggins, Y. Charles Li |
| Format: |
Hardback |
| List price:
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£89.99 |
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| ISBN 10: |
0387949259 |
| ISBN 13: |
9780387949253 |
| Publisher: |
SPRINGER-VERLAG NEW YORK INC. |
| Pub. date: |
1 October, 1997 |
| Edition: |
1997 ed. |
| Series: |
Applied Mathematical Sciences 128 |
| Pages: |
172 |
| Description: |
This monograph presents 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. |
| Synopsis: |
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. |
| Illustrations: |
3 Tables, black and white; VIII, 172 p. |
| Publication: |
US |
| Imprint: |
Springer-Verlag New York Inc. |
| Returns: |
Returnable |