arXiv:1211.5674 Abstract | arXiv Analytics

arXiv:1211.5674 [math.DS]Abstract References Reviews Resources

On the representation of maps by Lie transforms

Published 2012-11-24, updated 2013-03-29Version 2

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.

Categories: math.DS

Subjects: 37C05, 34C20

Keywords: lie transform, representation, normal form algorithm, normal form methods, chirikov standard map

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