Chapter 5. Variation of Parameters and Methods of Averaging

  1. Ali Hasan Nayfeh

Published Online: 21 DEC 2007

DOI: 10.1002/9783527617609.ch5

Book Title

Perturbation Methods

Perturbation Methods

Additional Information

How to Cite

Nayfeh, A. H. (2007) Variation of Parameters and Methods of Averaging, in Perturbation Methods, Wiley-VCH Verlag GmbH, Weinheim, Germany. doi: 10.1002/9783527617609.ch5

Publication History

  1. Published Online: 21 DEC 2007
  2. Published Print: 15 AUG 2000

ISBN Information

Print ISBN: 9780471399179

Online ISBN: 9783527617609

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CHAPTER TOOLS

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Keywords:

  • Schrödinger equation;
  • variation of parameters;
  • time-dependent;
  • homogeneous;
  • perturbation

Summary

This chapter contains sections titled:

  • Variation of Parameters

  • The Method of Averaging

  • Struble's Technique

  • The Krylov-Bogoliubov-Mitropolski Technique

  • The Method of Averaging by Using Canonical Variables

  • Von Zeipel's Procedure

  • Averaging by Using the Lie Series and Transforms

  • Averaging by Using Lagrangians

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