Shortcuts
Top of page (Alt+0)
Page content (Alt+9)
Page menu (Alt+8)
Your browser does not support javascript, some WebOpac functionallity will not be available.
.
Default
.
PageMenu
-
Main Menu
-
Simple Search
.
Advanced Search
.
Journal Search
.
Refine Search Results
.
Preferences
.
Search Menu
Simple Search
.
Advanced Search
.
New Items Search
.
Journal Search
.
Refine Search Results
.
Bottom Menu
Help
Italian
.
English
.
German
.
New Item Menu
New Items Search
.
New Items List
.
Links
SISSA Library
.
ICTP library
.
Italian National web catalog (SBN)
.
Trieste University web catalog
.
Udine University web catalog
.
© LIBERO v6.4.1sp220816
Page content
You are here
:
>
Browse Shelf
Catalogue Display
Catalogue Display
Invariant Manifolds and Fibrations for Perturbed Nonlinear Schrödinger Equations
.
Bookmark this Record
Catalogue Record 47116
.
.
Author info on Wikipedia
.
.
LibraryThing
.
.
Google Books
.
.
Amazon Books
.
Catalogue Information
Catalogue Record 47116
.
Reviews
Catalogue Record 47116
.
British Library
Resolver for RSN-47116
Google Scholar
Resolver for RSN-47116
WorldCat
Resolver for RSN-47116
Catalogo Nazionale SBN
Resolver for RSN-47116
GoogleBooks
Resolver for RSN-47116
ICTP Library
Resolver for RSN-47116
.
Share Link
Jump to link
Catalogue Information
Field name
Details
Dewey Class
514.34
Title
Invariant Manifolds and Fibrations for Perturbed Nonlinear Schrödinger Equations ([EBook] /) / by Charles Li, Stephen Wiggins.
Author
Li, Charles
Added Personal Name
Wiggins, Stephen
author.
Other name(s)
SpringerLink (Online service)
Publication
New York, NY : : Springer New York : : Imprint: Springer, , 1997.
Physical Details
VIII, 172 p. : online resource.
Series
Applied mathematical sciences
0066-5452 ; ; 128
ISBN
9781461218388
Summary Note
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. 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 infinite-dimensional setting. However, our setting is somewhat different than other approaches to infinite dimensional invariant manifolds since for conservative wave equations many of the interesting invariant manifolds are infinite dimensional and noncom pact. The style of the book is that of providing very detailed proofs of theorems for a specific infinite dimensional dynamical system-the perturbed nonlinear Schrodinger equation. The book is organized as follows. Chapter one gives an introduction which surveys the state of the art of invariant manifold theory for infinite dimensional dynamical systems. Chapter two develops the general setup for the perturbed nonlinear Schrodinger equation. Chapter three gives the proofs of the main results on persistence and smoothness of invariant man ifolds. Chapter four gives the proofs of the main results on persistence and smoothness of fibrations of invariant manifolds. This book is an outgrowth of our work over the past nine years concerning homoclinic chaos in the perturbed nonlinear Schrodinger equation. The theorems in this book provide key building blocks for much of that work.:
Contents note
1 Introduction -- 1.1 Invariant Manifolds in Infinite Dimensions -- 1.2 Aims and Scope of This Monograph -- 2 The Perturbed Nonlinear Schrödinger Equation -- 2.1 The Setting for the Perturbed Nonlinear Schrödinger Equation -- 2.2 Spatially Independent Solutions: An Invariant Plane -- 2.3 Statement of the Persistence and Fiber Theorems -- 2.4 Explicit Representations for Invariant Manifolds and Fibers -- 2.5 Coordinates Centered on the Resonance Circle -- 2.6 (6 = 0) Invariant Manifolds and the Introduction of a Bump Function -- 3 Persistent Invariant Manifolds -- 3.1 Statement of the Persistence Theorem and the Strategy of Proof -- 3.2 Proof of the Persistence Theorems -- 3.3 The Existence of the Invariant Manifolds -- 3.4 Smoothness of the Invariant Manifolds -- 3.5 Completion of the Proof of the Proposition -- 4 Fibrations of the Persistent Invariant Manifolds -- 4.1 Statement of the Fiber Theorem and the Strategy of Proof -- 4.2 Rate Lemmas -- 4.3 The Existence of an Invariant Subbundle E -- 4.4 Smoothness of the Invariant Subbundle E -- 4.5 Existence of Fibers -- 4.6 Smoothness of the Fiber fE(Q) as a Submanifold -- 4.7 Metric Characterization of the Fibers -- 4.8 Smoothness of Fibers with Respect to the Base Point -- References.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-1-4612-1838-8
Links to Related Works
Subject References:
Analysis
.
Analysis (Mathematics)
.
Complex manifolds
.
Geometry
.
Manifolds and Cell Complexes (incl. Diff.Topology)
.
Manifolds (Mathematics)
.
Mathematical analysis
.
Mathematics
.
Authors:
Li, Charles
.
Wiggins, Stephen
.
Corporate Authors:
SpringerLink (Online service)
.
Series:
Applied mathematical sciences
.
Classification:
514.34
.
.
ISBD Display
Catalogue Record 47116
.
Tag Display
Catalogue Record 47116
.
Related Works
Catalogue Record 47116
.
Marc XML
Catalogue Record 47116
.
Add Title to Basket
Catalogue Record 47116
.
Catalogue Information 47116
Beginning of record
.
Catalogue Information 47116
Top of page
.
Download Title
Catalogue Record 47116
Export
This Record
As
Labelled Format
Bibliographic Format
ISBD Format
MARC Format
MARC Binary Format
MARCXML Format
User-Defined Format:
Title
Author
Series
Publication Details
Subject
To
File
Email
Reviews
This item has not been rated.
Add a Review and/or Rating
47116
1
47116
-
2
47116
-
3
47116
-
4
47116
-
5
47116
-
Quick Search
Search for