Divergent Birkhoff normal forms  of  real analytic complex area preserving maps

YIN Wanke

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Divergent Birkhoff normal forms of real analytic complex area preserving maps

YIN Wanke *

School of Mathematics, Wuhan University, WuHan 430072

*Correspondence author

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Funding: NSFC（No.10901123）, FANEDD（No.201117,ANR-09-BLAN-0422）, SRFDP（No.20090141120010）, NSFC（No.11271291）

Opened online:14 December 2012

Accepted by: none

Citation: YIN Wanke.Divergent Birkhoff normal forms of real analytic complex area preserving maps[OL]. [14 December 2012] http://en.paper.edu.cn/en_releasepaper/content/4501812

In this paper, we provide a real analytic and complexvalued area preserving map, that possesses a divergent Birkhoffnormal form near an elliptic fixed point. The method uses the smalldivisor theory and the work of Gong in the study of the Halmitoniansystem.

Keywords:Several complex variables; normal form; area-preserving maps

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