Generating functions of simplectic mappings

Details Generating functions of simplectic mappings Generating functions of simplectic mappings

Sep 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980dossr.254r.308l&link_type=abstract

(Akademiia Nauk SSSR, Doklady, vol. 254, no. 2, 1980, p. 308-312.) Soviet Physics - Doklady, vol. 25, Sept. 1980, p. 714-716. Tr

Mathematics

Celestial Mechanics, Hamiltonian Functions, Transformations (Mathematics), Mapping, Matrices (Mathematics), Set Theory

Scientific paper

The general properties of transformations of Hamiltonian systems of equations are considered in the case when the dimensionality of the systems increases; these transformations are applicable to regularization transformations in celestial mechanics. The use of generating functions of simplex mappings in such problems is considered. Certain theorems proved for the Kustonheim-Stifel transformations in celestial mechanics are generalized.

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