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 ...
Read More
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.
Read Less
Add this copy of Invariant Manifolds and Fibrations for Perturbed to cart. $14.50, like new condition, Sold by The Book Bin rated 5.0 out of 5 stars, ships from Salem, OR, UNITED STATES, published 1997 by Springer.
Add this copy of Invariant Manifolds and Fibrations for Perturbed to cart. $15.00, like new condition, Sold by J. Hood, Booksellers, Inc. rated 5.0 out of 5 stars, ships from Baldwin City, KS, UNITED STATES, published 1997 by Springer Verlag.
Add this copy of Invariant Manifolds and Fibrations for Perturbed to cart. $15.96, good condition, Sold by HPB-Red rated 5.0 out of 5 stars, ships from Dallas, TX, UNITED STATES, published 1997 by Springer.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
Good. Connecting readers with great books since 1972! Used textbooks may not include companion materials such as access codes, etc. May have some wear or writing/highlighting. We ship orders daily and Customer Service is our top priority!
Add this copy of Invariant Manifolds and Fibrations for Perturbed to cart. $18.50, like new condition, Sold by BingoBooks2 rated 5.0 out of 5 stars, ships from Vancouver, WA, UNITED STATES, published 1997 by U.S.A. : Springer.
Add this copy of Invariant Manifolds and Fibrations for Perturbed to cart. $24.35, new condition, Sold by Media Smart rated 4.0 out of 5 stars, ships from Hawthorne, CA, UNITED STATES, published 1997 by Springer.
Add this copy of Invariant Manifolds and Fibrations for Perturbed to cart. $30.00, very good condition, Sold by Sutton Books rated 3.0 out of 5 stars, ships from Norwich, VT, UNITED STATES, published 1997 by Springer, 1997,.
Add this copy of Invariant Manifolds and Fibrations for Perturbed to cart. $51.08, new condition, Sold by discount_scientific_books rated 5.0 out of 5 stars, ships from Sterling Heights, MI, UNITED STATES, published 1997 by Springer.
Add this copy of Invariant Manifolds and Fibrations for Perturbed to cart. $51.65, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 1997 by Springer.
Add this copy of Invariant Manifolds and Fibrations for Perturbed to cart. $51.86, new condition, Sold by discount_scientific_books rated 5.0 out of 5 stars, ships from Sterling Heights, MI, UNITED STATES, published 1997 by Springer.
