Last edited by Sami
Friday, May 8, 2020 | History

5 edition of Invariant manifolds and fibrations for perturbed nonlinear Schrödinger equations found in the catalog.

Invariant manifolds and fibrations for perturbed nonlinear Schrödinger equations

by Charles Li

  • 313 Want to read
  • 39 Currently reading

Published by Springer in New York .
Written in English

    Subjects:
  • Schrödinger equation,
  • Manifolds (Mathematics),
  • Invariant manifolds,
  • Mathematical physics

  • Edition Notes

    Includes bibliographical references and index.

    StatementCharles Li, Stephen Wiggins.
    SeriesApplied mathematical sciences ;, 128, Applied mathematical sciences (Springer-Verlag New York Inc.) ;, v. 128.
    ContributionsWiggins, Stephen.
    Classifications
    LC ClassificationsQC174.26.W28 L5 1997
    The Physical Object
    Paginationviii, 170 p. :
    Number of Pages170
    ID Numbers
    Open LibraryOL669407M
    ISBN 100387949259
    LC Control Number97015251

    Gumroad - Painting a Realistic Skin Texture Using Mari By Henrique Campanha 3 Hours | AVI | Audio: pcm_s16le, Hz, mono, kb/s | Video: tsc2 / 0x, x, 30 fps | GB.   A method to approximate some invariant sets of dynamical systems defined through an autonomous m-dimensional ordinary differential equation is presented. Our technique is based on the calculation of formal symmetries and generalized normal forms associated with the system of equations, making use of Lie transformations for smooth vector fields. Once a symmetry is determined up to a .

    Charles Li and Stephen Wiggins, Invariant manifolds and fibrations for perturbed nonlinear Schrödinger equations, Applied Mathematical Sciences, vol. , Springer-Verlag, New York, MR ; F. Merle and P. Raphael, Sharp upper bound on the blow-up rate for the critical nonlinear Schrödinger equation, Geom. Funct. Anal. Download E-books Hunted PDF; Download E-books Hunted PDF. Posted on Janu by admin. By Meagan Spooner. Beauty is familiar with the Beast's wooded area in her bones- .

    Quasi-periodic solutions for perturbed generalized nonlinear vibrating string equation with singularities. Discrete & Continuous Dynamical Systems - A, , 37 (4): doi: /dcds The main application of centre manifold theory given in these notes is to dynamic bifurcation theory. Dynamic bifurcation theory is concerned with topological changes in the nature of the solutions of differential equations as para meters are varied.


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Invariant manifolds and fibrations for perturbed nonlinear Schrödinger equations by Charles Li Download PDF EPUB FB2

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 by: 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.

Buy Invariant Manifolds and Fibrations for Perturbed Nonlinear Schrödinger Equations (Applied Mathematical Sciences) on FREE SHIPPING on qualified orders Invariant Manifolds and Fibrations for Perturbed Nonlinear Schrödinger Equations (Applied Mathematical Sciences): Li, Charles, Wiggins, Stephen: : Books.

Invariant Manifolds and Their Fibrations for Perturbed Nonlinear Schr¨odinger Equation Yanguang (Charles) Li Department of Mathematics () Massachusetts Institute of Technology Cambridge, MA Stephen Wiggins Applied Mechanics, Control and Dynamical System California Institute of Technology Pasadena, CA September 4, 1.

Invariant Manifolds and Fibrations for Perturbed Nonlinear Schr?dinger Equations by Stephen Wiggins; Charles Li. Springer, Hardcover. Very Good.

Disclaimer:A copy that has been read, but remains in excellent condition. Pages are intact and are not marred by notes or highlighting, but may contain a neat previous owner name. The spine remains undamaged.

Invariant Manifold Perturbation Parameter Invariant Plane Bump Function Transversal Bundle These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm : Charles Li, Stephen Wiggins.

Invariant Manifolds in Infinite Dimensions 1 Aims and Scope of This Monograph.i 9 2 The Perturbed Nonlinear Schrodinger Equation 13 The Setting for the Perturbed Nonlinear Schrodinger Equation 13 Spatially Independent Solutions: An Invariant Plane.

15 Statement of the Persistence and Fiber Theorems Invariant manifolds and fibrations for perturbed nonlinear Schrödinger equations. By Charles Li and Stephen Wiggins. Cite. BibTex; Full citation; Topics: Mathematical Physics and Mathematics. Publisher: Springer.

Year: DOI. No.4 Chen & Guo: INVARIANT MANIFOLDS FOR PERTURBED QUINTIC-CUBIC EQUATION 2 Preliminary Results Existence and Regularity of Solutions Consider the following nonlinear Schr6dinger equation () it is a equation of system () at r = 1, jj is a bounded dissipative linear operator on H~,p (The Sobolev space of even, 27r periodic.

1 Introduction.- Invariant Manifolds in Infinite Dimensions.- Aims and Scope of This Monograph.- 2 The Perturbed Nonlinear Schrodinger Equation.- The Setting for the Perturbed.

Invariant Manifolds and Fibrations for Perturbed Nonlinear Schrodinger Equations; [PDF] The Parameterization Method for Invariant Manifolds: From Rigorous Results to Effective Computations; Stochastic Modelling for Systems Biology, Third Edition (Chapman & Hall/CRC Mathematical and Computational Biology) Ed 3.

In this monograph the authors present detailed and pedagogic proofs of persistence theorems for normally hyperbolic invariant manifolds and their stable and unstable manifolds. Invariant Manifolds and Fibrations for Perturbed Nonlinear Schrödinger Equations.

[Charles Li; Stephen Wiggins] -- The nonlinear Schroedinger (NLS) equation is a fundamental nonlinear partial differential equation (PDE) that arises in many areas and engineering, e.g.

in plasma physics, nonlinear waves, and. Homoclinic orbits for perturbed coupled nonlinear Schrödinger equations.

Author based on invariant manifold theory and Melnikov method combined with geometric singular perturbation theory and invariant foliations, perturbed NLS equations are studied and the Empolying invariant manifold theory and Melnikov analysis developed.

This work was initiated in the summer of while all of the authors were at the Center of Nonlinear Studies of the Los Alamos National Laboratory; it was then continued and polished while the authors were at Indiana Univer sity, at the University of Paris-Sud (Orsay), and again at Los Alamos in and Our aim was to present a direct geometric approach in the theory of inertial.

Invariant tori of a nonlinear Schrödinger equation with quasi-periodically unbounded perturbations. Communications on Pure & Applied Analysis,16 (1):   Invariant Manifolds and Fibrations for Perturbed Nonlinear Schroedinger Equations. Stephen Wiggins.

23 Oct Hardback. Invariant Manifolds and Fibrations for Perturbed Nonlinear Schroedinger Equations. Charles Li. 27 Sep Paperback. US$ Add to. equations and turbulence, nano-technology, biological mathematics, and complex systems.

His honors include a Guggenheim Fellowship, an AMS Centennial Fellowship, and the Princeton University Merit Prize. His published books include Invariant Manifolds and Fibrations for Perturbed Nonlinear Schrödinger Equations, volume of the Applied.

Global solutions of nonlinear Schrödinger equations / by: Bourgain, Jean, Published: () Invariant manifolds and fibrations for perturbed nonlinear Schrödinger equations / by: Li, Charles, Published: ().

We investigate nonlinear Schrödinger equations like the model equation where the potential V λ has a potential well with bottom independent of the parameter λ > 0.

If λ → ∞ the infimum of the essential spectrum of -Δ + V λ in L 2 (ℝ N) converges towards ∞ and more and more eigenvalues appear below the essential spectrum. Ebooks library. On-line books store on Z-Library | B–OK. Download books for free.

Find books. 5, Books ; 77, Articles Invariant Manifolds and Fibrations for Perturbed Nonlinear Schrödinger Equations. Springer-Verlag New York. Charles Li, Stephen Wiggins (auth.) Year: (). Invariant manifolds and nonlinear master-slave synchronization in coupled systems.

Applicable Analysis: Vol. 86, No. 3, pp. Download E-books Invariant Manifolds and Fibrations for Perturbed Nonlinear Schrödinger Equations (Applied Mathematical Sciences) PDF; Download E-books Analytical and Numerical Methods for Wave Propagation in Fluid Media (Stability, Vibration and Control of Systems, Series A) PDF; Download E-books Effective Field Theories PDF.