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.)
KeywordsHamiltonian System Canonical Transformation Bifurcation Curve Identity Transformation Resonant Parameter
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