ON A PERTURBATION THEORY USING LIE TRANSFORMS,

Abstract

Kamel has recently extended to non-Hamiltonian equations a perturbation theory using Lie transforms. It is shown in this report extension can be approached from an intrinsic viewpoint, which reformulation leads to a simpler algorithm. Kamel's contribution is then completed by establishing rules for inverting the transformation generated by the perturbation theory, and for composing two such transformations. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1969
Accession Number
AD0698140

Entities

People

  • Jacques Henrard

Organizations

  • Boeing

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Equations
  • Mathematics
  • Perturbation Theory
  • Perturbations

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis