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Lie Transforms

  • Richard H. Rand
  • Dieter Armbruster
Part of the Applied Mathematical Sciences book series (AMS, volume 65)

Abstract

The method of Lie transforms is a normal form method for Hamiltonian systems. Like the method of normal forms (Chapter 3), Lie transforms involves finding a change of variables so that the system of differential equations becomes simpler. That is, the perturbation expansions are performed on the transformation of coordinates rather than on the solution as a function of time (as, e.g., in Lindstedt’s method.)

Keywords

Hamiltonian System Canonical Transformation Bifurcation Curve Identity Transformation Resonant Parameter 
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 improves.

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Copyright information

© Springer Science+Business Media New York 1987

Authors and Affiliations

  • Richard H. Rand
    • 1
  • Dieter Armbruster
    • 2
  1. 1.Department of Theoretical & Applied MechanicsCornell UniversityIthacaUSA
  2. 2.Institut für Informations-verarbeitungUniversität Tübingen74 Tübingen 1Germany

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