Lie Transforms

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


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.)


Hamiltonian System Canonical Transformation Bifurcation Curve Identity Transformation Resonant Parameter 
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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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