Computer Science – Numerical Analysis
Scientific paper
Mar 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982kosis..20..163l&link_type=abstract
Kosmicheskie Issledovaniia, vol. 20, Mar.-Apr. 1982, p. 163-176. In Russian.
Computer Science
Numerical Analysis
3
Hamiltonian Functions, Numerical Analysis, Transformations (Mathematics), Canonical Forms, Differential Equations, Matrices (Mathematics), Vector Analysis
Scientific paper
A theory of the transformation of Hamiltonian systems of equations is developed, with particular emphasis on the canonical increase of the dimensionality of such systems. The use of generating functions is considered, and relations are obtained which link matrices of the fundamental solutions of the equations in variations of the transformed systems. The results of the general theory are illustrated by the derivation of basic relations for the case of the regularizing KS-transformation. Finally, attention is given to the inverse problem of reducing the order of a Hamiltonian system in the presence of particular integrals.
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