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

Invariant Manifolds and Fibrations for Perturbed Nonlinear Schrödinger Equations (Applied Mathematical Sciences) download epub

by Stephen Wiggins,Charles Li


Epub Book: 1664 kb. | Fb2 Book: 1376 kb.

Authors: Li, Charles, Wiggins, Stephen. This book presents a development of invariant manifold theory for a spe­ cific canonical nonlinear wave system -the perturbed nonlinear Schrooinger equation. The main results fall into two parts.

Authors: Li, Charles, Wiggins, Stephen. The first part is concerned with the persistence and smoothness of locally invariant manifolds. The sec­ ond part is concerned with fibrations of the stable and unstable manifolds of inflowing and overflowing invariant manifolds. The central technique for proving these results is Hadamard's graph transform method generalized to an setting.

How to Super Clean the INSIDE of Your Windshield (No Streaks) - Продолжительность: 7:43 ChrisFix Recommended for you. 7:43.

Электронная книга "Applied Mathematical Sciences: Invariant Manifolds and Fibrations for Perturbed Nonlinear Schrödinger Equations", Charles Li, Stephen Wiggins. Эту книгу можно прочитать в Google Play Книгах на компьютере, а также на устройствах Android и iOS. Выделяйте текст, добавляйте закладки и делайте заметки, скачав книгу "Applied Mathematical Sciences: Invariant Manifolds and Fibrations for Perturbed Nonlinear Schrödinger Equations" для чтения в офлайн-режиме.

General Note: This book presents a development of invariant manifold theory for a spe­ cific canonical nonlinear wave system -the perturbed nonlinear Schrooinger equation.

Start by marking Invariant Manifolds and Fibrations for Perturbed Nonlinear Schr�dinger Equations  . This book presents a development of invariant manifold theory for a spe- cific canonical nonlinear wave system -the perturbed nonlinear Schrooinger equation.

Start by marking Invariant Manifolds and Fibrations for Perturbed Nonlinear Schr�dinger Equations as Want to Read: Want to Read savin. ant to Read.

Authors: David McLaughlin Charles Li Stephen Wiggins. As such, they may be applied to a broad class of infinite dimensional dynamical systems. Every textbook comes with a 21-day "Any Reason" guarantee. Published by Springer.

Applied Geometry Geometry & Topology Math Mathematical Analysis . Normally Hyperbolic Invariant Manifolds in Dynamical Systems (Applied Mathematical Sciences).

Applied Geometry Geometry & Topology Math Mathematical Analysis Mathematics Physics Science & Math Science & Math Textbooks Topology Waves & Wave Mechanics. More by Stephen Wiggins.

Author McLaughlin, David, Li, Charles, Wiggins, Stephen. ISBN13: 9780387949253.

Invariant Manifolds and Fibrations for Perturbed Nonlinear Schrödinger Equations. Charles Li. Stephen Wiggins. 2 The Perturbed Nonlinear Schrodinger Equation. . Invariant Manifolds in Infinite Dimensions. Aims and Scope of This Monograph. The Setting for the Perturbed Nonlinear Schrodinger Equation. Spatially Independent Solutions: An Invariant Plane. Statement of the Persistence and Fiber Theorems. Explicit Representations for Invariant Manifolds and Fibers. Coordinates Centered on the Resonance Circle. 1 Definition of the H Norms.

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.
Invariant Manifolds and Fibrations for Perturbed Nonlinear Schrödinger Equations (Applied Mathematical Sciences) download epub
Mathematics
Author: Stephen Wiggins,Charles Li
ISBN: 0387949259
Category: Science & Math
Subcategory: Mathematics
Language: English
Publisher: Springer; 1997 edition (October 23, 1997)
Pages: 172 pages