Physics
Scientific paper
Mar 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987cemec..42..107b&link_type=abstract
Celestial Mechanics, Volume 42, Issue 1-4, pp. 107-128
Physics
Scientific paper
The problem of the existence of normal forms for symplectic maps in R2n is analyzed using a technique based on the generating functions. The author discusses extensively the case of a map with an elliptic fixed point: both the resonant and non resonant cases are presented. Explicit algorithms to calculate the analytic expansions of the normal forms and the associated canonical transformation are also provided.
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