Symbolic computation of normal forms for nonlinear Hamiltonian systems

DOI10.1016/0377-0427(92)90210-OzbMath0767.58012OpenAlexW1965662420MaRDI QIDQ1196838

Byron Drachman, Shui-Nee Chow, Max Ashkenazi

Publication date: 16 January 1993

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(92)90210-o

zbMATH Keywords

symbolic computationnormal formHamiltonian system

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Normal forms for dynamical systems (37G05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Uses Software

• MACSYMA

Cites Work

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• Determinacy of degenerate equilibria with linear part \(x'=y\), \(y'=0\) using MACSYMA
• The stability of the Lagrange triangular point and a theorem of Arnold
• Perturbation methods, bifurcation theory and computer algebra
• Manifolds, tensor analysis, and applications.
• Computation of normal forms
• Versal deformations of linear Hamiltonian systems

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