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GITA: A REDUCE program for the normalization of polynomial Hamiltonians

✍ Scribed by V. Basios; N.A. Chekanov; B.L. Markovski; V.A. Rostovtsev; S.I. Vinitsky

Publisher: Elsevier Science
Year: 1995
Tongue: English
Weight: 634 KB
Volume: 90
Category: Article
ISSN: 0010-4655
DOI: 10.1016/0010-4655(95)00080-y

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✦ Synopsis

Abst~tct

For a given polynomaal tlamiltonian near an equilibrium point the program GrrA calculates analytically the normal Birkhoff-Gustavson form in Cartesian as well as angle-action coordinates and the formal integral of the motion. These quantities ate presented in the form of a truncated power series, the highest degree of which determines the degree of the approximation. The program performs the calculation of the modified normal Birkhoff-Gustavson form for the }iamihonian restricted by the resonance condition. The program package is written in the computer algebra system REDUCE.

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