A note about certain arbitrariness in the solution of the homological equation in Deprit's method
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1
Universidad de La Rioja
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2
Centro de Investigación Biomédica de La Rioja
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ISSN: 1024-123X
Year of publication: 2015
Volume: 2015
Pages: 1-11
Type: Article
beta Ver similares en nube de resultadosMore publications in: Mathematical Problems in Engineering
Abstract
Deprit's method has been revisited in order to take advantage of certain arbitrariness arising when the inverse of the Lie operator is applied to obtain the generating function of the Lie transform. This arbitrariness is intrinsic to all perturbation techniques and can be used to demonstrate the equivalence among different perturbation methods, to remove terms from the generating function of the Lie transform, or to eliminate several angles simultaneously in the case of having a degenerate Hamiltonian. © 2015 Juan Félix San-Juan et al.