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Multiphase Averaging for Classical Systems : With Applications to Adiabatic Theorems /

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In the past several decades many significant results in averaging for systems of ODE's have been obtained. These results have not attracted a tention in proportion to their importance, partly because they have been overshadowed by KAM theory, and partly because they remain widely scattered - an...

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Bibliographic Details
Main Author: Lochak, P. (Pierre)
Corporate Author: SpringerLink (Online service)
Other Authors: Meunier, Claude
Format: eBook
Language:English
Published: New York, NY : Springer New York, 1988.
Series:Applied mathematical sciences (Springer-Verlag New York Inc.) ; 72.
Subjects:
Mathematics.
Global analysis (Mathematics)
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Introduction and Notation
  • Ergodicity
  • On Frequency Systems and First Results for Two Frequency Systems
  • Two Frequency Systems; Neistadt's Results
  • N Frequency Systems; Neistadt's Result Based on Anosov's Method
  • N Frequency Systems; Neistadt's Results Based on Kasuga's Method
  • Hamiltonian Systems
  • Adiabatic Theorems in One Dimension
  • The Classical Adiabatic Theorems in Many Dimensions
  • The Quantum Adiabatic Theorem
  • Appendices
  • Bibliography
  • Bibliographical Notes
  • Index.