The Hamiltonian transformation in quadratic Lie transforms

Details The Hamiltonian transformation in quadratic Lie transforms The Hamiltonian transformation in quadratic Lie transforms

Feb 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cemec..32...99h&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 32, Feb. 1984, p. 99-107.

Physics

4

Algorithms, Duffing Differential Equation, Hamiltonian Functions, Lie Groups, Perturbation Theory, Poisson Equation

Scientific paper

The algorithm for Hamiltonian transformation in the quadratic perturbation technique of one of the authors admits of various equivalent forms. Using as a criterion the number of inter-term multiplications required for transformation, however, the amount of effort required to obtain the transformed Hamiltonian is not equivalent among these forms. Each is considered in some detail, and general guidelines for the choice of "most efficient" algorithm to be used in a given problem are provided. Their utility is demonstrated by application to Duffing's equation.

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