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.)
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© 1987 Springer Science+Business Media New York
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Rand, R.H., Armbruster, D. (1987). Lie Transforms. In: Perturbation Methods, Bifurcation Theory and Computer Algebra. Applied Mathematical Sciences, vol 65. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1060-3_6
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DOI: https://doi.org/10.1007/978-1-4612-1060-3_6
Publisher Name: Springer, New York, NY
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