On a perturbation theory using Lie transforms

Details On a perturbation theory using Lie transforms On a perturbation theory using Lie transforms

Mar 1970

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1970cemec...3..107h&link_type=abstract

Celestial Mechanics, Volume 3, Issue 1, pp.107-120

Computer Science

52

Scientific paper

Kamel has recently extended to non-Hamiltonian equations a perturbation theory using Lie transforms. We show here how Kamel's extension can be approached from an intrinsic viewpoint, which reformulation leads to a simpler algorithm. Then we complete Kamel's contribution by establishing the rules for inverting the transformation generated by the perturbation theory, and for composing two such transformations.

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