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arXiv · 1211.5674

On the representation of maps by Lie transforms

Antonio Giorgilli
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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 Scrhöder--Siegel map and of the Chirikov standard map are included, with extension to arbitrary dimension.

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Antonio Giorgilli. 2013-03-29. On the representation of maps by Lie transforms. https://arxiv.org/abs/1211.5674

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