Birkhoff s Normalization

Details Birkhoff s Normalization Birkhoff s Normalization

Jun 1969

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1969cemec...1..222d&link_type=abstract

Celestial Mechanics, Volume 1, Issue 2, pp.222-251

Physics

16

Scientific paper

Birkhoff's normalizing canonical transformation at an equilibrium of
elliptic type with no internal resonance can be built explicitly and
recursively, without partial inversions or substitutions, by means of
Lie transforms. Invariant sections and ordinary families of periodic
orbits for truncated normalized systems are analyzed in detail.

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