Algorithms for normalization of Hamiltonian systems by means of computer algebra

DOI10.1016/0010-4655(93)90032-8zbMath0854.65060OpenAlexW2022995756MaRDI QIDQ1923751

Ivan I. Shevchenko, Andrej G. Sokolsky

Publication date: 10 October 1996

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

Full work available at URL: https://doi.org/10.1016/0010-4655(93)90032-8

zbMATH Keywords

algorithmsHamiltonian systemscomputer algebranormalizationprogram package

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

POINCARé CODE: a package of open-source implements for normalization and computer algebra reduction near equilibria of coupled ordinary differential equations ⋮ Hamiltonian normalization in the restricted many-body problem by computer algebra methods ⋮ Symbolic computation of the Birkhoff normal form in the problem of stability of the triangular libration points

Uses Software

• REDUCE

Cites Work

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• EUROCAL '87. European Conference on Computer Algebra, Leipzig, GDR, June 2--5, 1987. Proceedings.
• System for normalization of a Hamiltonian function based on Lie series
• Application of lie group and computer algebra to nonliner mechanics
• Canonical transformations depending on a small parameter
• A new algorithm for the Lie transformation