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[Licence| Download | New Version Template] acht_v1_0.gz(4 Kbytes)
Manuscript Title: Computing normal forms of nonseparable Hamiltonians by symbolic manipulation.
Authors: P.E. Raines, T. Uzer
Program title: BIRKGUST
Catalogue identifier: ACHT_v1_0
Distribution format: gz
Journal reference: Comput. Phys. Commun. 70(1992)569
Programming language: Mathematica.
Computer: MACINTOSH IIci.
Operating system: MACINTOSH SYSTEM SOFTWARE v6.0.4.
Word size: 32
Keywords: Computer algebra, Molecular, Scattering, Other, Nonlinear dynamics, Classical perturbation Theory.
Classification: 5, 16.9.

Nature of problem:
This computer program constructs the normal form a nonintegrable Hamiltonian using Birkhoff-Gustavson Normal Form Theory.

Solution method:
A succession of canonical transformations is used to construct progressively "better" sets of action-angle variables. All of the transformations are performed symbolically.

Varies with available RAM and type of computer. Use of the available RAM depends on the number of perturbation terms, the order to the perturbation terms, and the order of the solution requested. A solution to 10th order for 10 perturbation terms at orders all less than eight will require more that 8MB RAM on a Macintosh IIci.

Running time:
For the example given in test input, 160 seconds.