GITA: A REDUCE program for the normalization of polynomial Hamiltonians

DOI10.1016/0010-4655(95)00080-YzbMath0888.65083OpenAlexW2086819838MaRDI QIDQ1379305

S. I. Vinitskij, V. A. Rostovtsev, N. A. Chekanov, B. L. Markovski, Vasileios Basios

Publication date: 13 May 1998

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0010-4655(95)00080-y

zbMATH Keywords

integral of motioncanonical transformationhomogeneous polynomialalgebraic equationprogram packagepolynomial Hamiltoniancomputer algebra system REDUCEnormal Birkhoff-Gustavson form

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Packaged methods for numerical algorithms (65Y15)

Related Items (1)

A REDUCE program for the normalization of polynomial Hamiltonians

Uses Software

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Cites Work

• The algebraic quantisation of the Birkhoff-Gustavson normal form
• Equivalence for lie transforms
• Canonical transformations depending on a small parameter
• Equivalence of the perturbation theories of Hori and Deprit
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