https://doi.org/10.4081/scie.2012.135
ON THE REPRESENTATION OF MAPS BY LIE TRASFORMS
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Pubblicato: 30 dicembre 2012
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 Schröder–Siegel map and of the Chirikov standard map are included, with extension to arbitrary dimension.