On a Relation among Lie Series

Details On a Relation among Lie Series On a Relation among Lie Series

Jun 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989cemda..46..113f&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 46, Issue 2, pp.113-118

Astronomy and Astrophysics

Astronomy

1

Scientific paper

In this paper we discuss the relation between the structures of the series expansion for the Dragt and Finn composition of Lie transforms and for a transformation introduced by Giorgilli and Galgani. A recursive algorithm is presented which is used to generate the series expansion for the composition of Lie transforms. This algorithm strongly resembles the algorithm of Giorgilli and Galgani, and differs from it only in an ordering property. The relation with the algorithms of Kamel and Henrard for Deprit's direct and inverse series is also discussed.

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