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On the representation of maps by Lie transforms (1211.5674v2)
Published 24 Nov 2012 in math.DS
Abstract: The problem of representing a class of maps in a form suited for application of normal form methods is revisited. It is shown that using the methods of Lie series and of Lie transform a normal form algorithm is constructed in a straightforward manner. The examples of the Scrh\"oder--Siegel map and of the Chirikov standard map are included, with extension to arbitrary dimension.
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